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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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In  Forthcoming  Issues
Infinite-type loxodromic isometries of the relative arc graph

Carolyn Abbott, Nicholas Miller, Priyam Patel

Harmonic measures and rigidity for surface group actions on the circle

Masanori Adachi, Yoshifumi Matsuda, Hiraku Nozawa

Dynamics of veering triangulations: Infinitesimal components of their flow graphs and applications

Ian Agol, Chi Cheuk Tsang

On contact mapping classes of prequantizations

Souheib Allout, Murat Sağlam


Andrés Ángel, Carlos Segovia, Arley Fernando Torres

Oriented and unitary equivariant bordism of surfaces

Andrés Ángel, Eric Samperton, Carlos Segovia, Bernardo Uribe

Topological Hochschild homology of truncated Brown-Peterson spectra I

Gabriel Angelini-Knoll, Dominic Leon Culver, Eva Höning

Bounding the Kirby-Thompson invariant of spun knots

Román Aranda, Puttipong Pongtanapaisan, Scott A. Taylor, Suixin (Cindy) Zhang

A cubical Rips construction

Macarena Arenas

Singular Legendrian unknot links and relative Ginzburg algebras

Johan Asplund

Remarks on symplectic circle actions, torsion and loops

Marcelo S. Atallah

Natural symmetries of secondary Hochschild homology

David Ayala, John Francis, Adam Howard

A qualitative description of the horoboundary of the Teichmüller metric

Aitor Azemar

Circular orderability of 3-manifold groups

Idrissa Ba, Adam Clay

Simple balanced three-manifolds, Heegaard Floer homology and the Andrews-Curtis conjecture

Neda Bagherifard, Eaman Eftekhary

The generalized Kauffman-Harary conjecture is true

Rhea Palak Bakshi, Huizheng Guo, Gabriel Montoya-Vega, Sujoy Mukherjee, Józef H. Przytycki

The Real-oriented cohomology of infinite stunted projective spaces

William Balderrama

Small Heegaard genus and SU(2)

John A. Baldwin, Steven Sivek

Tame and relatively elliptic $\mathbb{CP}^1$-structures on the thrice-punctured sphere

Samuel A. Ballas, Philip L. Bowers, Alex Casella, Lorenzo Ruffoni

Bundle transfer of L-homology orientation classes for singular spaces

Markus Banagl

An exotic presentation of $\mathbb{Z} \times \mathbb{Z}$ and the Andrews-Curtis conjecture

Jonathan Ariel Barmak

Classifying rational G-spectra for profinite G

David Barnes, Danny Sugrue

Recipes to compute the algebraic K-theory of Hecke algebras of reductive p-adic groups

Arthur Bartels, Wolfgang Lück

Power sum elements in the $G_2$ skein algebra

Bodie Beaumont-Gould, Erik Brodsky, Vijay Higgins, Alaina Hogan, Joseph M. Melby, Joshua Piazza

An upper bound conjecture for the Yokota invariant

Giulio Belletti

Moduli spaces of geometric graphs

Mara Belotti, Antonio Lerario, Andrew Newman

Derived character maps of group representations

Yuri Berest, Ajay C. Ramadoss

An explicit comparison between $2$-complicial sets and $\Theta_2$-spaces

Julie Bergner, Viktoriya Ozornova, Martina Rovelli

Classifying spaces of infinity-sheaves

Daniel Berwick-Evans, Pedro Boavida de Brito, Dmitri Pavlov

On the nonorientable four-ball genus of torus knots

Fraser Binns, Sungkyung Kang, Jonathan Simone, Paula Truöl

A group-theoretic framework for low-dimensional topology or, how not to study low-dimensional topology?

Sarah Blackwell, Robion Kirby, Michael R. Klug, Vincent Longo, Benjamin Ruppik

Closures of T-homogeneous braids are real algebraic

Benjamin Bode

Geometric and arithmetic properties of Löbell polyhedra

Nikolay Bogachev, Sami Douba

Relative systoles in hyperelliptic translation surfaces

Corentin Boissy, Slavyana Geninska

Heegaard Floer homology, knotifications of links, and plane curves with non-cuspidal singularities

Maciej Borodzik, Beibei Liu, Ian Zemke

Geography of bilinearized Legendrian contact homology

Frédéric Bourgeois, Damien Galant

Integral generalized equivariant cohomologies of weighted Grassmann orbifolds

Koushik Brahma, Soumen Sarkar

Coxeter systems with 2-dimensional Davis complexes, growth rates and Perron numbers

Naomi Bredon, Tomoshige Yukita

Relatively geometric actions of Kaehler groups on CAT(0) cube complexes

Corey Bregman, Daniel Groves, Kejia Zhu

Finite groups of untwisted outer automorphisms of RAAGs

Corey Bregman, Ruth Charney, Karen Vogtmann

Hamiltonian classification of toric fibres and symmetric probes

Joé Brendel

Profinite isomorphisms and fixed-point properties

Martin R. Bridson

Alexandrov theorem for 2+1 flat radiant spacetimes

Léo Brunswic

Generalised Baumslag-Solitar groups and hierarchically hyperbolic groups

Jack O. Button

Morse elements in Garside groups are strongly contracting

Matthieu Calvez, Bert Wiest

Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings

Orsola Capovilla-Searle

Multipath cohomology of directed graphs

Luigi Caputi, Carlo Collari, Sabino Di Trani

The cohomology of biquotients via a product on the two-sided bar construction

Jeffrey D. Carlson, Matthias Franz

Asymptotic cones of snowflake groups and the strong shortcut property

Christopher H. Cashen, Nima Hoda, Daniel J. Woodhouse

Locally equivalent Floer complexes and unoriented link cobordisms

Alberto Cavallo

A variant of Dwyer-Kan theorem for model categories

Boris Chorny, David White

Homotopy ribbon discs with a fixed group

Anthony Conway

Formal contact categories

Benjamin Cooper

An algebraic $C_2$-equivariant Bézout's theorem

Steven R. Costenoble, Thomas Hudson, Sean Tilson

Turning vector bundles

Diarmuid Crowley, Csaba Nagy, Blake Sims, Huijun Yang

Computations on cobordism groups of projected immersions

András Csépai

Rigidification of cubical quasi-categories

Pierre-Louis Curien, Muriel Livernet, Gabriel Saadia

Cubulating a free-product-by-cyclic group

François Dahmani, Suraj Krishna Meda Satish

Milnor homotopy invariants for braids and welded braids

Jacques Darné

Strong topological rigidity of non-compact orientable surfaces

Sumanta Das

The Goldman bracket characterizes homeomorphisms between non-compact surfaces

Sumanta Das, Siddhartha Gadgil, Ajay Kumar Nair

A Quillen stability criterion for bounded cohomology

Carlos de la Cruz Mengual, Tobias Hartnick

A new invariant of equivariant concordance and results on 2-bridge knots

Alessio Di Prisa, Giovanni Framba

The braid indices of the reverse parallel links of alternating knots

Yuanan Diao, Hugh Morton

Hyperbolic homology 3-spheres from drum polyhedra

Raquel Díaz, José L. Estévez

The Burau representation and shapes of polyhedra

Ethan Dlugie

What are GT-shadows?

Vasily A. Dolgushev, Khanh Q. Le, Aidan A. Lorenz

Points of quantum $\mathrm{SL}_n$ coming from quantum snakes

Daniel C. Douglas

On the positivity of twisted $L^2$-torsion for 3-manifolds

Jianru Duan

The multiplicative structures on motivic homotopy groups

Daniel Dugger, Bjørn Ian Dundas, Daniel C. Isaksen, Paul Arne Østvær

The localization spectral sequence in the motivic setting

Clément Dupont, Daniel Juteau

Tautological characteristic classes I

Jan Dymara, Tadeusz Januszkiewicz

Synthetic approach to the Quillen model structure on topological spaces

Sterling Ebel, Krzysztof Kapulkin

Sequential parametrized topological complexity and related invariants

Michael Farber, John Oprea

Realization of Lie algebras of derivations and moduli spaces of some rational homotopy types

Yves Félix, Mario Fuentes, Aniceto Murillo

All known realizations of complete Lie algebras coincide

Yves Félix, Mario Fuentes, Aniceto Murillo

Generalizing quasi-categories via model structures on simplicial sets

Matt Feller

On positive braids, monodromy groups and framings

Livio Ferretti

Braided Thompson groups with and without quasimorphisms

Francesco Fournier-Facio, Yash Lodha, Matthew C. B. Zaremsky

$\mathbb Z_{/p} \times \mathbb Z_{/p}$ actions on $S^n \times S^n$

Jim Fowler, Courtney Thatcher

A comparison of period coordinates and Teichmüller distance

Ian Frankel

Shrinking without doing much at all

Michael Freedman, Michael Starbird

Rational homology ribbon cobordism is a partial order

Stefan Friedl, Filip Misev, Raphael Zentner

Asymptotic dimensions of the arc graphs and disk graphs

Koji Fujiwara, Saul Schleimer

Cartesian fibrations of $(\infty,2)$-categories

Andrea Gagna, Yonatan Harpaz, Edoardo Lanari

Shape of filling-systole subspace in surface moduli space and critical points of systole function

Yue Gao

Relations amongst twists along Montesinos twins in the 4-sphere

David T. Gay, Daniel Hartman

On the resolution of kinks of curves on punctured surfaces

Christof Geiss, Daniel Labardini-Fragoso

A topological construction of families of Galois covers of the line

Alessandro Ghigi, Carolina Tamborini

Chern character for infinity vector bundles

Cheyne Glass, Micah Miller, Thomas Tradler, Mahmoud Zeinalian

The $K(\pi,1)$ conjecture and acylindrical hyperbolicity for relatively extra-large Artin groups

Katherine M. Goldman

Characterising quasi-isometries of the free group

Antoine Goldsborough, Stefanie Zbinden

Random Artin groups

Antoine Goldsborough, Nicolas Vaskou

An algorithmic discrete gradient field and the cohomology algebra of configuration spaces of two points on complete graphs

Emilio Gonzalez, Jesús González

A spectral sequence for spaces of maps between operads

Florian Göppl, Michael S. Weiss

Errata to “Hopf ring structure on the mod p cohomology of symmetric groups”

Lorenzo Guerra

Models of $G$-spectra as presheaves of spectra

Bertrand J. Guillou, J. Peter May

Pushouts of Dwyer maps are (∞,1)-categorical

Philip Hackney, Viktoriya Ozornova, Emily Riehl, Martina Rovelli

Lattices, injective metrics and the $K(\pi,1)$ conjecture

Thomas Haettel

Embedding Croke-Kleiner admissible groups into finite product of trees

Suzhen Han, Hoang Thanh Nguyen, Wen-Yuan Yang

On k-invariants for (infinity, n)-categories

Yonatan Harpaz, Joost Nuiten, Matan Prasma

Strong Haken theorem via sphere complexes

Sebastian Hensel, Jennifer Schultens

Line bundle twists for unitary bordism are ghosts

Thorsten Hertl

Wall-crossing from Lagrangian Cobordisms

Jeffrey Hicks

Holomorphic polygons and the bordered Heegaard Floer homology of link complements

Thomas Hockenhull

Strongly shortcut spaces

Nima Hoda

A-polynomials, Ptolemy equations and Dehn filling

Joshua A. Howie, Daniel V. Mathews, Jessica S. Purcell

Coarse Alexander duality for pairs and applications

G. Christopher Hruska, Emily Stark, Hùng Công Trần

Band diagrams of immersed surfaces in 4-manifolds

Mark Hughes, Seungwon Kim, Maggie Miller

The Curtis-Wellington spectral sequence through cohomology

Dana Hunter

Finite presentations of the mapping class groups of once-stabilized Heegaard splittings

Daiki Iguchi

Instanton knot invariants with rational holonomy parameters and an application for torus knot groups

Hayato Imori

Möbius structures, quasi-metrics and completeness

Merlin Incerti-Medici

Complex hypersurfaces in direct products of Riemann surfaces

Claudio Llosa Isenrich

Unbounded $\mathfrak{sl}_3$-laminations and their shear coordinates

Tsukasa Ishibashi, Shunsuke Kano

Slope norm and an algorithm to compute the crosscap number

William Jaco, J. Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann

Complexity of 3-manifolds obtained by Dehn filling

William Jaco, J. Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann

The geometry of subgroup embeddings and asymptotic cones

Andy Jarnevic

On the involutive Heegaard Floer homology of negative semi-definite plumbed 3-manifolds with $b_{1}=1$

Peter K. Johnson

Bridge trisections and Seifert solids

Jason Joseph, Jeffrey Meier, Maggie Miller, Alexander Zupan

A geometric computation of cohomotopy groups in co-degree one

Michael Jung, Thomas O. Rot

Real algebraic overtwisted contact structures on 3-spheres

Şeyma Karadereli, Ferit Öztürk

Vector fields on non-compact manifolds

Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya

The space of non-extendable quasimorphisms

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama, Takahiro Matsushita, Masato Mimura

Smooth singular complexes and diffeological principal bundles

Hiroshi Kihara

A simple proof of the Crowell-Murasugi theorem

Thomas Kindred

Commensurators of thin normal subgroups and abelian quotients

Thomas Koberda, Mahan Mj

Dehn twists and the Nielsen realization problem for spin 4-manifolds

Hokuto Konno

Classical shadows of stated skein representations at roots of unity

Julien Korinman, Alexandre Quesney


Chris Kottke, Richard Melrose

Combinatorial proof of Maslov index formula in Heegaard Floer theory

Roman Krutowski

A reduction of the string bracket to the loop product

Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki, Toshihiro Yamaguchi

An analogue of Milnor's invariants for knots in 3-manifolds

Miriam Kuzbary

Fully augmented links in the thickened torus

Alice Kwon

Cutting and pasting in the Torelli subgroup of Out(Fn)

Jacob Landgraf

Highly twisted diagrams

Nir Lazarovich, Yoav Moriah, Tali Pinsky

Hyperbolic groups with logarithmic separation profile

Nir Lazarovich, Corentin Le Coz

Automorphisms of some variants of fine graphs

Frédéric Le Roux, Maxime Wolff

Fibered 3-manifolds and Veech groups

Christopher J. Leininger, Kasra Rafi, Nicholas Rouse, Emily Shinkle, Yvon Verberne

Homotopy types of suspended $4$-manifolds

Pengcheng Li

A deformation of Asaeda-Przytycki-Sikora homology

Zhenkun Li, Yi Xie, Boyu Zhang

Representation stability for homotopy automorphisms

Erik Lindell, Bashar Saleh

Horizontal decompositions, I

Paolo Lisca, Andrea Parma

Horizontal decompositions, II

Paolo Lisca, Andrea Parma

Arithmetic representations of mapping class groups

Eduard Looijenga

Enriched quasi-categories and the templicial homotopy coherent nerve

Wendy Lowen, Arne Mertens

Topology and geometry of flagness and beltness of simple handlebodies

Zhi Lü, Lisu Wu

The deformation spaces of geodesic triangulations of flat tori

Yanwen Luo, Tianqi Wu, Xiaoping Zhu

The spectral diameter of a Liouville domain

Pierre-Alexandre Mailhot

Action of the Mazur pattern up to topological concordance

Alex Manchester

A closed ball compactification of a maximal component via cores of trees

Giuseppe Martone, Charles Ouyang, Andrea Tamburelli

Anosov flows and Liouville pairs in dimension three

Thomas Massoni

The Heisenberg double of involutory Hopf algebras and invariants of closed $3$-manifolds

Serban Matei Mihalache, Sakie Suzuki, Yuji Terashima

Fourier transforms and integer homology cobordism

Mike Miller Eismeier

Quasiconvexity of virtual joins and separability of products in relatively hyperbolic groups

Ashot Minasyan, Lawk Mineh

Localization of a $KO^{\ast}(\text{pt})$-valued index and the orientability of the $\mathrm{Pin}^-(2)$ monopole moduli space

Jin Miyazawa

Algebraic and Giroux torsion in higher-dimensional contact manifolds

Agustin Moreno

A note on embeddings of 3-manifolds in symplectic 4-manifolds

Anubhav Mukherjee

Shadows of 2-knots and complexity

Hironobu Naoe

Projective modules and the homotopy classification of (G,n)-complexes

John Nicholson

Monoidal properties of Franke's exotic equivalence

Nikitas Nikandros, Constanze Roitzheim

Toward a topological description of Legendrian contact homology of unit conormal bundles

Yukihiro Okamoto

Rank-preserving additions for topological vector bundles, after a construction of Horrocks

Morgan Opie

Manifolds with small topological complexity

Petar Pavešić

The $H \underline{\mathbb{F}}_2$-homology of $C_2$-equivariant Eilenberg-MacLane spaces

Sarah Petersen

Mapping tori of $A_{\infty}$-autoequivalences and Legendrian lifts of exact Lagrangians in circular contactizations

Adrian Petr

Definition of the cord algebra of knots using Morse Thoery

Andreas Petrak

On keen weakly reducible bridge spheres

Puttipong Pongtanapaisan, Daniel Rodman

An RBG construction of integral surgery homeomorphisms

Qianhe Qin

Classical homological stability from the point of view of cells

Oscar Randal-Williams

On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3-manifolds

Paul Rapoport

Slice genus bound in $DTS^2$ from $s$-invariant

Qiuyu Ren

Upper bounds for the Lagrangian cobordism relation on Legendrian links

Joshua M. Sabloff, David Shea Vela-Vick, C.-M. Michael Wong

Algebraic generators of the skein algebra of a surface

Ramanujan Santharoubane

L-spaces, taut foliations and the Whitehead link

Diego Santoro

Powell's conjecture on the Goeritz group of S^3 is stably true

Martin Scharlemann

Bounded subgroups of relatively finitely presented groups

Eduard Schesler

A note on knot Floer homology of satellite knots with (1,1)-patterns

Weizhe Shen

A cubulation with no factor system

Sam Shepherd

On products of beta and gamma elements in the homotopy of the first Smith-Toda spectrum

Katsumi Shimomura, Mao-no-suke Shimomura

Homological stability for the ribbon Higman--Thompson groups

Rachel Skipper, Xiaolei Wu

On the structure of the top homology group of the Johnson kernel

Igor Spiridonov

The homology of a Temperley-Lieb algebra on an odd number of strands

Robin J. Sroka

Linear, linkless embeddings: Proof of a conjecture by Sachs

Lynn Stanfield

$\mathrm{K}$-cowaist on complete foliated manifolds

GuangXiang Su, Xiangsheng Wang

Virtual domination of 3-manifolds III

Hongbin Sun

Index bounded relative symplectic cohomology

Yuhan Sun

The localization of orthogonal calculus with respect to homology

Niall Taggart

Steenrod problem and some graded Stanley-Reisner rings

Masahiro Takeda

Smallest nonabelian quotients of surface braid groups

Cindy Tan

Relative h-principle and contact geometry

Jacob Taylor

The enumeration and classification of prime 20-crossing knots

Morwen B. Thistlethwaite

An example of higher-dimensional Heegaard Floer homology

Yin Tian, Tianyu Yuan

Interleaving Mayer-Vietoris spectral sequences

Alvaro Torras Casas, Ulrich Pennig

Topologically isotopic and smoothly inequivalent 2-spheres in simply connected 4-manifolds whose complement has a prescribed fundamental group

Rafael Torres

Projective twists and the Hopf correspondence

Brunella Torricelli

On the invariance of the Dowlin spectral sequence

Samuel Tripp, Zachary Winkeler

Phase transition for the existence of van Kampen 2-complexes in random groups

Tsung-Hsuan Tsai

The Kakimizu complex for genus one hyperbolic knots in the 3-sphere

Luis G. Valdez-Sánchez

Foliated open books

Vera Vértesi, Joan E. Licata

Verdier duality on conically smooth stratified spaces

Marco Volpe

Extendable periodic automorphisms of closed surfaces over the 3-sphere

Chao Wang, Weibiao Wang

Kauffman bracket intertwiners and the volume conjecture

Zhihao Wang

Rigidity of elliptic genera for non-spin manifolds

Michael Wiemeler

$T$-equivariant motives of flag varieties

Can Yaylali

Zero stability for the one-row colored $\mathfrak{sl}_3$-Jones polynomial

Wataru Yuasa

Quillen homology of spectral Lie algebras with application to mod $p$ homology of labeled configuration spaces

Adela YiYu Zhang

Formality of sphere bundles

Jiawei Zhou

Morse-Bott cohomology from homological perturbation theory

Zhengyi Zhou