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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
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In  Forthcoming  Issues
The Gamma and Strominger--Yau--Zaslow conjectures: a tropical approach to periods

Mohammed Abouzaid, Sheel Ganatra, Hiroshi Iritani, Nick Sheridan

Betti realization of varieties defined by formal Laurent series

Piotr Achinger, Mattia Talpo

Knot Floer homology and the unknotting number

Akram Alishahi, Eaman Eftekhary

Hyperbolicity and cubulability are preserved under elementary equivalence

Simon André

Closed ideal planar curves

Ben Andrews, James McCoy, Glen Wheeler, Valentina-Mira Wheeler

Towards conservativity of Gm-stabilization

Tom Bachmann, Maria Yakerson

Asymmetric L-space knots

Kenneth L. Baker, John Luecke

On the equivalence of contact invariants in sutured Floer homology theories

John A. Baldwin, Steven Sivek

A gluing formula for families Seiberg-Witten invariants

David Baraglia, Hokuto Konno

Free Seifert pieces of pseudo-Anosov flows

Thierry Barbot, Sérgio R. Fenley

Anomalous partially hyperbolic diffeomorphisms III: abundance and incoherence

Christian Bonatti, Andrey Gogolev, Andy Hammerlindl, Rafael Potrie

On the isometric conjecture of Banach

Gil Bor, Luis Hernández-Lamoneda, Valentin Jimenez-Desantiago, Luis Montejano Peimbert

The quantum tropical vertex

Pierrick Bousseau

Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries

Philip Boyland, André de Carvalho, Toby Hall

On Kodaira fibrations with invariant cohomology

Corey Bregman

Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions

Simon Brendle, Kyeongsu Choi

The theory of N-mixed-spin-P fields

Huai-liang Chang, Shuai Guo, Jun Li, Wei-Ping Li

On the geometry of asymptotically flat manifolds

Xiuxiong Chen, Yu Li

Analytic tangent cones of admissible Hermitian-Yang-Mills connections

Xuemiao Chen, Song Sun

The space of almost calibrated $(1,1)$ forms on a compact K\"ahler manifold

Jianchun Chu, Tristan C. Collins, Man-Chun Lee

Classification of tight contact structures on surgeries on the figure-eight knot

James Conway, Hyunki Min

More concordance homomorphisms from knot Floer homology

Irving Dai, Jennifer Hom, Matthew Stoffregen, Linh Truong

Geodesic stability, the space of rays, and uniform convexity in Mabuchi geometry

Tamás Darvas, Hoang-Chinh Lu

Moduli theory, stability of fibrations and optimal symplectic connections

Ruadhaí Dervan, Lars Martin Sektnan

Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations

David Dumas, Andrew Sanders

Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds

Nathan M. Dunfield

Corrigendum to Boundaries and Automorphisms of Hierarchically Hyperbolic Spaces

Matthew Gentry Durham, Mark F. Hagen, Alessandro Sisto

Hurwitz theory of elliptic orbifolds, I

Philip Engel

Braid monodromy of univariate fewnomials

Alexander Esterov, Lionel Lang

Complete non-compact Spin(7) manifolds from self-dual Einstein 4-orbifolds

Lorenzo Foscolo

The cohomology rings of smooth toric varieties and quotients of moment-angle complexes

Matthias Franz

Reflection positivity and invertible topological phases

Daniel S. Freed, Michael J. Hopkins

On the vanishing topology of isolated Cohen-Macaulay codimension 2 singularities

Anne Frühbis-Krüger, Matthias Zach

Graph manifolds as ends of negatively curved Riemannian manifolds

Koji Fujiwara, Takashi Shioya

Taming the pseudoholomorphic beasts in $\mathbb{R} \times (S^1 \times S^2)$

Chris Gerig

The Engel-Lutz twist and overtwisted Engel structures

Álvaro del Pino, Thomas Vogel

Complex algebraic compactifications of the moduli space of Hermitian-Yang-Mills connections on a projective manifold

Daniel Greb, Benjamin Sibley, Matei Toma, Richard Wentworth

Pluripotential Kähler-Ricci flows

Vincent Guedj, Hoang-Chinh Lu, Ahmed Zeriahi

Boundaries of relative factor graphs and subgroup classification for automorphisms of free products

Vincent Guirardel, Camille Horbez

Homological eigenvalues of lifts of pseudo-Anosov mapping classes to finite covers

Asaf Hadari

Eilenberg-MacLane spectra as equivariant Thom spectra

Jeremy Hahn, Dylan Wilson

Hodge theory of the Goldman bracket

Richard Hain

Equivariant Hodge theory and noncommutative geometry

Daniel Halpern-Leistner, Daniel Pomerleano

Positive scalar curvature on manifolds with odd order abelian fundamental groups

Bernhard Hanke

Holomorphic one-forms without zeros on threefolds

Feng Hao, Stefan Schreieder

Quasipositive links and Stein surfaces

Kyle Hayden

A vanishing theorem for tautological classes of aspherical manifolds

Fabian Hebestreit, Markus Land, Wolfgang Lück, Oscar Randal-Williams

Homological stability and densities of generalized configuration spaces

Quoc P. Ho

New differential operator and non-collapsed RCD spaces

Shouhei Honda

Isotopies of surfaces in 4-manifolds via banded unlink diagrams

Mark C. Hughes, Seungwon Kim, Maggie Miller

Kähler groups and subdirect products of surface groups

Claudio Llosa Isenrich

Mixed curvature almost flat manifolds

Vitali Kapovitch

On the topology and the boundary of N-dimensional RCD(K,N) spaces

Vitali Kapovitch, Andrea Mondino

Distinguishing open symplectic mapping tori via their wrapped Fukaya categories

Yusuf Barış Kartal

Bounds on spectral norms and barcodes

Asaf Kislev, Egor Shelukhin

Characteristic classes via 4-dimensional gauge theory

Hokuto Konno

The Gromov-Lawson codimension $2$ obstruction to positive scalar curvature and the $C^*$-index

Yosuke Kubota, Thomas Schick

HF = HM V: Seiberg-Witten-Floer homology and handle additions

Çağatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes

HF=HM I : Heegaard Floer homology and Seiberg-Witten Floer homology

Çağatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes

HF = HM, II: Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence

Çağatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes

HF=HM III:Holomorphic curves and the differential for the ech/Heegaard Floer correspondence

Çağatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes

HF=HM IV: The Sieberg-Witten Floer homology and ech correspondence

Çağatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes

Monopole contributions to refined Vafa-Witten invariants

Ties Laarakker

Quadratic differentials and circle patterns on complex projective tori

Wai Yeung Lam

Bridge trisections in CP^2 and the Thom conjecture

Peter Lambert-Cole

Khovanov homotopy type, Burnside category, and products

Tyler Lawson, Robert Lipshitz, Sucharit Sarkar

Simplifying Weinstein Morse functions

Oleg Lazarev

Commensurating HNN-extensions: non-positive curvature and biautomaticity

Ian J. Leary, Ashot Minasyan

K\"ahler manifolds with almost nonnegative curvature

Man-Chun Lee, Luen-Fai Tam

A refinement of Khovanov homology

Andrew Lobb, Liam Watson

Rigidity of mapping class group actions on $S^1$

Kathryn Mann, Maxime Wolff

The geometry of groups containing almost normal subgroups

Alexander Margolis

Compact hyperbolic manifolds without spin structures

Bruno Martelli, Stefano Riolo, Leone Slavich

Kaledin's degeneration theorem and topological Hochschild homology

Akhil Mathew

Quasi-complementary Foliations and the Mather-Thurston Theorem

Gaël Meigniez

On the top dimensional cohomology groups of congruence subgroups of SL(n,Z)

Jeremy Miller, Peter Patzt, Andrew Putman

Extending fibrations of knot complements to ribbon disk complements

Maggie Miller

Euler characteristics of Gothic Teichmüller curves

Martin Möller, David Torres-Teigell

An average John theorem

Assaf Naor

Augmentations are sheaves

Lenhard Ng, Dan Rutherford, Vivek Shende, Steven Sivek, Eric Zaslow

On the escape rate of geodesic loops in an open manifold with nonnegative Ricci curvature

Jiayin Pan

Salem number stretch factors and totally real fields arising from Thurston's construction

Joshua Pankau

A homology theory for tropical cycles on integral affine manifolds and a perfect pairing

Helge Ruddat

Blowups with log canonical singularities

Gregory K. Sankaran, Francisco Santos

Versality of the relative Fukaya category

Nick Sheridan

Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces

Miles Simon, Peter M. Topping

Trees of manifolds as boundaries of spaces and groups

Jacek Świątkowski

Trees of metric compacta and trees of manifolds

Jacek Świątkowski

Higher genus relative and orbifold Gromov-Witten invariants

Hsian-Hua Tseng, Fenglong You

Mayer-Vietoris property for relative symplectic cohomology

Umut Varolgunes

A construction of the quantum Steenrod squares and their algebraic relations

Nicholas Wilkins

Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. II. Positivity, integrality and the gluing formula

Tony Yue Yu