Geometry & Topology

Article	Citations
Reflection positivity and invertible topological phases	81
The quantum tropical vertex	23
On the topology and the boundary of N–dimensional RCD(K,N) spaces	18
HF=HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology	18
Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry	16
Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions	16
More concordance homomorphisms from knot Floer homology	14
Topological dualities in the Ising model	13
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces	13
Khovanov homotopy type, Burnside category and products	12
Augmentations are sheaves	12
New differential operator and noncollapsed RCD spaces	11
HF=HM, III : Holomorphic curves and the differential for the ech/Heegaard Floer correspondence	10
Higher genus relative and orbifold Gromov–Witten invariants	9
A gluing formula for families Seiberg–Witten invariants	9
Conical metrics on Riemann surfaces, I: The compactified configuration space and regularity	9
HF=HM, II : Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence	8
Rigidity of mapping class group actions on S1	8
Bridge trisections in ℂℙ2 and the Thom conjecture	8
Anosov groups: local mixing, counting and equidistribution	8
HF=HM, V : Seiberg–Witten Floer homology and handle additions	8
Anomalous partially hyperbolic diffeomorphisms III: Abundance and incoherence	8
HF=HM, IV : The Seiberg–Witten Floer homology and ech correspondence	8
Bounds on spectral norms and barcodes	8
Recognition of being fibered for compact 3–manifolds	8

Isotopies of surfaces in 4–manifolds via banded unlink diagrams	7
Hurwitz theory of elliptic orbifolds, I	7
Monopole contributions to refined Vafa–Witten invariants	7
Edge stabilization in the homology of graph braid groups	7
A vanishing theorem for tautological classes of aspherical manifolds	7
Commensurating HNN extensions: nonpositive curvature and biautomaticity	7
Contact handles, duality, and sutured Floer homology	7
Correction to the article Boundaries and automorphisms of hierarchically hyperbolic spaces	7
A construction of the quantum Steenrod squares and their algebraic relations	7
A new cohomology class on the moduli space of curves	7
Homological mirror symmetry for log Calabi–Yau surfaces	6
The structure of submetries	6
The cohomology rings of smooth toric varieties and quotients of moment-angle complexes	6
Mayer–Vietoris property for relative symplectic cohomology	6
A homology theory for tropical cycles on integral affine manifolds and a perfect pairing	6
Equivariant Hodge theory and noncommutative geometry	5
The theory of N–mixed-spin-P fields	5
Knot Floer homology and the unknotting number	5
Taming the pseudoholomorphic beasts in ℝ × (S1× S2)	5
Complete noncompact Spin(7) manifolds from self-dual Einstein 4–orbifolds	5
Optimal destabilization of K–unstable Fano varieties via stability thresholds	5
Homology of torus knots	5
Stability conditions and moduli spaces for Kuznetsov components of Gushel–Mukai varieties	5
On the top-dimensional cohomology groups of congruence subgroups of SL(n, ℤ)	5
Kähler groups and subdirect products of surface groups	4
Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics	4
Abelian quotients of the Y –filtration on the homology cylinders via the LMO functor	4
Kaledin’s degeneration theorem and topological Hochschild homology	4
Simplifying Weinstein Morse functions	4
Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries	4
Kähler manifolds with almost nonnegative curvature	4
Legendrian weaves : N–graph calculus, flag moduli and applications	4
Rational Pontryagin classes of Euclidean fiber bundles	4
Transverse invariants and exotic surfaces in the 4–ball	4
Trees of metric compacta and trees of manifolds	4
Barcodes and area-preserving homeomorphisms	4
Discrete conformal geometry of polyhedral surfaces and its convergence	4
?1–connected components of ruled surfaces	4
Cohomological χ–independence for moduli of one-dimensional sheaves and moduli of Higgs bundles	4
Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations	4
Holomorphic one-forms without zeros on threefolds	4
The higher-dimensional tropical vertex	3
Pseudoholomorphic curves relative to a normal crossings symplectic divisor: compactification	3
An average John theorem	3
Orbifold stability and Miyaoka–Yau inequality for minimal pairs	3
Effective bilipschitz bounds on drilling and filling	3
GL2ℝ–invariant measures in marked strata : generic marked points, Earle–Kra for strata and illumination	3
Chromatic splitting for the K(2)–local sphere at p = 2	3
The geometry of groups containing almost normal subgroups	3
Versality of the relative Fukaya category	3

A refinement of Khovanov homology	3
Duality between Lagrangian and Legendrian invariants	3
Moduli theory, stability of fibrations and optimal symplectic connections	3
Free Seifert pieces of pseudo-Anosov flows	3
Hyperbolicity and cubulability are preserved under elementary equivalence	3
Eilenberg–Mac Lane spectra as equivariant Thom spectra	3
Pluripotential Kähler–Ricci flows	3
Holomorphic Legendrian curves in ℂℙ3 and superminimal surfaces in ?4	3
Inner geometry of complex surfaces: a valuative approach	3
Hilbert schemes and y–ification of Khovanov–Rozansky homology	3
Quasipositive links and Stein surfaces	3
On the equivalence of contact invariants in sutured Floer homology theories	3
Min-max minimal disks with free boundary in Riemannian manifolds	3
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal	3
Classification of tight contact structures on surgeries on the figure-eight knot	3
(ℝℙ2n−1,ξstd) is not exactly fillable for n≠2k	3
Supersymmetric field theories and the elliptic index theorem with complex coefficients	3
Asymptotically rigid mapping class groups, I : Finiteness properties of braided Thompson’s and Houghton’s groups	3
Towards conservativity of ?m–stabilization	3
Closed ideal planar curves	3
Enumeration of holomorphic cylinders in log Calabi–Yau surfaces, II : Positivity, integrality and the gluing formula	3
Asymmetric L–space knots	3
Complex algebraic compactifications of the moduli space of Hermitian Yang–Mills connections on a projective manifold	3
On the isometric conjecture of Banach	3
Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds	2
Codimension-1 simplices in divisible convex domains	2
Volume forms on moduli spaces of d–differentials	2
Trees of manifolds as boundaries of spaces and groups	2
Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions	2
Floer homology, group orderability, and taut foliations of hyperbolic 3–manifolds	2
Boundaries of relative factor graphs and subgroup classification for automorphisms of free products	2
Marked points on translation surfaces	2
The Jordan property for local fundamental groups	2
Floer theory and reduced cohomology on open manifolds	2
Unimodular measures on the space of all Riemannian manifolds	2
Embedded surfaces with infinite cyclic knot group	2
A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve	2
Coalgebraic formal curve spectra and spectral jet spaces	2
On the vanishing topology of isolated Cohen–Macaulay codimension 2 singularities	2
Cabling in terms of immersed curves	2
The Gromov–Lawson codimension 2 obstruction to positive scalar curvature and the C∗–index	2
On the escape rate of geodesic loops in an open manifold with nonnegative Ricci curvature	2
On the monopole Lefschetz number of finite-order diffeomorphisms	2
The 2–primary Hurewicz image of tmf	2
Homological stability and densities of generalized configuration spaces	2
Combinatorial Ricci flows and the hyperbolization of a class of compact 3–manifolds	2
Compact hyperbolic manifolds without spin structures	2
A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves	2
A calculus for bordered Floer homology	2
The space of almost calibrated (1,1)–forms on a compact Kähler manifold	2
Analytic tangent cones of admissible Hermitian Yang–Mills connections	2
Power operations in the Stolz–Teichner program	2
Salem number stretch factors and totally real fields arising from Thurston’s construction	2
Noncollapsed degeneration of Einstein 4–manifolds, II	2
Vanishing cycles, plane curve singularities and framed mapping class groups	1
Classifying sections of del Pezzo fibrations, II	1
Quasicomplementary foliations and the Mather–Thurston theorem	1
Extending fibrations of knot complements to ribbon disk complements	1
Cyclic homology, S1–equivariant Floer cohomology and Calabi–Yau structures	1
Homological eigenvalues of lifts of pseudo-Anosov mapping classes to finite covers	1
Positive scalar curvature on manifolds with odd order abelian fundamental groups	1
Quadratic differentials and circle patterns on complex projective tori	1
Classification results for expanding and shrinking gradient Kähler–Ricci solitons	1
The combinatorial formula for open gravitational descendents	1
The quantum Witten–Kontsevich series and one-part double Hurwitz numbers	1
Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity	1
Braid monodromy of univariate fewnomials	1
Large-scale geometry of big mapping class groups	1
Noncollapsed degeneration of Einstein 4–manifolds, I	1
Random trees in the boundary of outer space	1
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions	1
The induced metric on the boundary of the convex hull of a quasicircle in hyperbolic and anti-de Sitter geometry	1
The Gamma and Strominger–Yau–Zaslow conjectures : a tropical approach to periods	1
Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II : Branching foliations	1
Anosov representations with Lipschitz limit set	1
A higher-rank rigidity theorem for convex real projective manifolds	1
The cosmetic crossing conjecture for split links	1
Linear independence of rationally slice knots	1
Algebraic Spivak’s theorem and applications	1
Surface group representations in SL2(ℂ) with finite mapping class orbits	1

Contact three-manifolds with exactly two simple Reeb orbits	1
On cubulated relatively hyperbolic groups	1
Invariants of 4–manifolds from Khovanov–Rozansky link homology	1
A universal Hochschild–Kostant–Rosenberg theorem	1
Twisted Brin–Thompson groups	1
Conformal blocks from vertex algebras and their connections on ℳg,n	1
Sutured manifolds and polynomial invariants from higher rank bundles	1
Global rigidity of some abelian-by-cyclic group actions on ?2	1
Factorization statistics and bug-eyed configuration spaces	1
From flops to diffeomorphism groups	1
Instanton Floer homology of almost-rational plumbings	1
The Engel–Lutz twist and overtwisted Engel structures	1
Euler characteristics of Gothic Teichmüller curves	1
The Legendrian Whitney trick	1
Ancient mean curvature flows out of polytopes	1
dp–convergence and ?–regularity theorems for entropy and scalar curvature lower bounds	1
Distinguishing open symplectic mapping tori via their wrapped Fukaya categories	1
Combinatorial Reeb dynamics on punctured contact 3–manifolds	1
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold	1