Volume 17 Number 2
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Issue 2, 645–1281
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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
In  Forthcoming  Issues
HOMFLY-PT homology for general link diagrams and braidlike isotopy

Michael Abel

Generalized augmented alternating links and hyperbolic volumes

Colin Adams

Equivariant corks

Dave Auckly, Hee Jung Kim, Paul Melvin, Daniel Ruberman

On the integral cohomology ring of toric orbifolds and singular toric varieties

Anthony Bahri, Soumen Sarkar, Jongbaek Song

Positive factorizations of mapping classes

R. İnanç Baykur, Naoyuki Monden, Jeremy Van Horn-Morris

The intersection graph of an orientable generic surface

Doron Ben Hadar

Higher cohomology operations and R-completion

David Blanc, Debasis Sen

A note on cobordisms of algebraic knots

József Bodnár, Daniele Celoria, Marco Golla

Representations of the Kauffman bracket skein algebra II: punctured surfaces

Francis Bonahon, Helen Wong

Slice implies mutant-ribbon for odd 5-stranded pretzel knots

Kathryn A. Bryant

Embedding calculus knot invariants are of finite type

Ryan Budney, Jim Conant, Robin Koytcheff, Dev Sinha

A refinement of Betti numbers and homology in the presence of a continuous function. I

Dan Burghelea

Germs of fibrations of spheres by great circles always extend to the whole sphere

Patricia Cahn, Herman Gluck, Haggai Nuchi

9 generators of the skein space of the 3-torus

Alessio Carrega

Remarks on coloured triply graded link invariants

Sabin Cautis

DAHA and plane curve singularities

Ivan Cherednik, Ian Philipp

Higher Toda brackets and the Adams spectral sequence in triangulated categories

J. Daniel Christensen, Martin Frankland

Detecting essential surfaces as intersections in the character variety

Michelle Chu

Odd knot invariants from quantum covering groups

Sean Clark

Uniform fellow traveling between surgery paths in the sphere graph

Matt Clay, Yulan Qing, Kasra Rafi

3-manifolds built from injective handlebodies

James Coffey, Hyam Rubinstein

The localized skein algebra is Frobenius

Nel Abdiel, Charles Frohman

The mapping cone formula in Heegaard Floer homology and Dehn surgery on knots in $S^3$

Fyodor Gainullin

Non L-space integral homology 3-spheres with no nice orderings

Xinghua Gao

Pair of pants decomposition of 4-manifolds

Marco Golla, Bruno Martelli

Infinite order corks via handle diagrams

Robert E. Gompf

Spectral sequences in smooth generalized cohomology

Daniel Grady, Hisham Sati

Gorenstein duality for real spectra

John Greenlees, Lennart Meier

Equivariant iterated loop space theory and permutative G-categories

Bertrand J. Guillou, Jon Peter May

Categorial Models for Equivariant Classifying Spaces

Bertrand J. Guillou, Jon Peter May, Mona Merling

Fully irreducible automorphisms of the free group via Dehn twisting in $\sharp_k(S^2 \times S^1)$

Funda Gültepe

Stable Postnikov data of Picard 2-categories

Nick Gurski, Niles Johnson, Angélica M. Osorno, Marc Stephan

Heegaard Floer homology of spatial graphs

Shelly Harvey, Danielle O'Donnol

Acylindrical group actions on quasi-trees

Sahana Hassan Balasubramanya

Tethers and homology stability for surfaces

Allen Hatcher, Karen Vogtmann

The $C_2$ spectrum $TMF_1(3)$ and its invertible modules

Michael A. Hill, Lennart Meier

Links with finite $n$-quandles

Jim Hoste, Patrick D. Shanahan

On mod $p$ $A_p$-spaces

Ruizhi Huang, Jie Wu

Untwisting information from Heegaard Floer homology

Kenan Ince

Vanishing of L²-Betti numbers and failure of acylindrical hyperbolicity of matrix groups over rings

Feng Ji, Shengkui Ye

A second cohomology class of the symplectomorphism group with discrete topology

Ryoji Kasagawa

An algebraic model for rational SO(3)-spectra

Magdalena Kędziorek

Betti numbers and stability for configuration spaces via factorization homology

Ben Knudsen

A homology valued invariant for trivalent fatgraph spines

Yusuke Kuno

Identifying lens spaces using discrete logarithms

Greg Kuperberg

Localization of cofibration categories and groupoid $c^*$-algebras

Markus Land, Thomas Nikolaus, Karol Szumiło

The surgery exact triangle in Pin(2)-monopole Floer homology

Francesco Lin

Eigenvalue varieties of Brunnian links

François Malabre

Cyclotomic structure in the topological Hochschild homology of DX

Cary Malkiewich

On bordered theories for Khovanov homology

Andrew Manion

Bounds on alternating surgery slopes

Duncan McCoy

The topological sliceness of 3-strand pretzel knots

Allison N. Miller

Corrections to "Homotopy theory of nonsymmetric operads, I, II"

Fernando Muro

Translation surfaces and the curve graph in genus two

Duc-Manh Nguyen

Presentably symmetric monoidal $\infinity$-categories are represented by symmetric monoidal model categories

Thomas Nikolaus, Steffen Sagave

Axioms for higher twisted torsion invariants

Christopher Ohrt

The augmentation category map induced by exact Lagrangian cobordisms

Yu Pan

On growth of systole along congruence coverings of Hilbert modular varieties

Plinio G. P. Murillo

Link homology and equivariant gauge theory

Prayat Poudel, Nikolai Saveliev

An algebraic model for commutative HZ-algebras

Birgit Richter, Brooke Shipley

Non-commutative formality implies commutative and Lie formality

Bashar Saleh

Klein-four connections and the Casson invariant for non-trivial admissible $U(2)$ bundles

Christopher Scaduto, Matthew Stoffregen

Topological complexity of n points on a tree

Steven Scheirer

The diagonal slice of Schottky space

Caroline Series, Ser Peow Tan, Yasushi Yamashita

Coarse medians and property A

Jan Spakula, Nick Wright

A categorification of the Alexander polynomial in embedded contact homology

Gilberto Spano

Epimorphisms between $2$-bridge knot groups and their crossing numbers

Masaaki Suzuki

The closed-open string map for S^1-invariant Lagrangians

Dmitry Tonkonog

Geometric embedding properties of Bestvina-Brady subgroups

Hung Cong Tran

Super q-Howe duality and web categories

Daniel Tubbenhauer, Pedro Vaz, Paul Wedrich

Cosimplicial groups and spaces of homomorphisms

Bernardo Villarreal

Pattern-equivariant homology

James Walton

Homotopy decompositions of gauge groups over Real surfaces

Michael West

A colored Khovanov spectrum and its tail for B-adequate links

Michael Willis

Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology

C.-M. Michael Wong

A generalized axis theorem for cube complexes

Daniel J. Woodhouse

Affine Hirsch foliations on $3$-manifolds

Bin Yu

An index obstruction to positive scalar curvature on fiber bundles over aspherical manifolds

Rudolf Zeidler

Quasi-stabilization and basepoint moving maps in link Floer homology

Ian Zemke

The unstabilized canonical Heegaard splitting of a mapping torus

Yanqing Zou