Geometry & Topology

Papers
(The median citation count of Geometry & Topology is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-10-01 to 2024-10-01.)
ArticleCitations
Reflection positivity and invertible topological phases106
HF=HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology26
Topological dualities in the Ising model21
On the topology and the boundary of N–dimensional RCD(K,N) spaces20
Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions19
Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry17
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces16
More concordance homomorphisms from knot Floer homology15
HF=HM, III : Holomorphic curves and the differential for the ech/Heegaard Floer correspondence15
HF=HM, V : Seiberg–Witten Floer homology and handle additions14
HF=HM, II : Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence13
Augmentations are sheaves13
Bounds on spectral norms and barcodes13
HF=HM, IV : The Seiberg–Witten Floer homology and ech correspondence13
New differential operator and noncollapsed RCD spaces13
A new cohomology class on the moduli space of curves11
Anosov groups: local mixing, counting and equidistribution10
Anomalous partially hyperbolic diffeomorphisms III: Abundance and incoherence10
Monopole contributions to refined Vafa–Witten invariants10
Higher genus relative and orbifold Gromov–Witten invariants10
Mayer–Vietoris property for relative symplectic cohomology9
Hurwitz theory of elliptic orbifolds, I8
A homology theory for tropical cycles on integral affine manifolds and a perfect pairing8
Cohomological χ–independence for moduli of one-dimensional sheaves and moduli of Higgs bundles8
Knot Floer homology and the unknotting number8
The cohomology rings of smooth toric varieties and quotients of moment-angle complexes8
Optimal destabilization of K–unstable Fano varieties via stability thresholds8
Equivariant Hodge theory and noncommutative geometry8
A vanishing theorem for tautological classes of aspherical manifolds8
Commensurating HNN extensions: nonpositive curvature and biautomaticity7
Discrete conformal geometry of polyhedral surfaces and its convergence6
Complete noncompact Spin(7) manifolds from self-dual Einstein 4–orbifolds6
Stability conditions and moduli spaces for Kuznetsov components of Gushel–Mukai varieties6
On the top-dimensional cohomology groups of congruence subgroups of SL(n, ℤ)6
Homological mirror symmetry for log Calabi–Yau surfaces6
Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics6
Rational Pontryagin classes of Euclidean fiber bundles6
The structure of submetries6
Barcodes and area-preserving homeomorphisms6
Homology of torus knots6
Legendrian weaves : N–graph calculus, flag moduli and applications6
Transverse invariants and exotic surfaces in the 4–ball6
Effective bilipschitz bounds on drilling and filling5
Orbifold stability and Miyaoka–Yau inequality for minimal pairs5
Hilbert schemes and y–ification of Khovanov–Rozansky homology5
Complex algebraic compactifications of the moduli space of Hermitian Yang–Mills connections on a projective manifold5
Asymptotically rigid mapping class groups, I : Finiteness properties of braided Thompson’s and Houghton’s groups5
Chromatic splitting for the K(2)–local sphere at p = 25
The theory of N–mixed-spin-P fields5
Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries5
Taming the pseudoholomorphic beasts in ℝ × (S1× S2)5
Abelian quotients of the Y –filtration on the homology cylinders via the LMO functor5
On the isometric conjecture of Banach4
(ℝℙ2n−1,ξstd) is not exactly fillable for n≠2k4
Eilenberg–Mac Lane spectra as equivariant Thom spectra4
Boundaries of relative factor graphs and subgroup classification for automorphisms of free products4
Floer theory and reduced cohomology on open manifolds4
The higher-dimensional tropical vertex4
Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds4
?1–connected components of ruled surfaces4
A higher-rank rigidity theorem for convex real projective manifolds4
A refinement of Khovanov homology4
Holomorphic one-forms without zeros on threefolds4
Floer homology, group orderability, and taut foliations of hyperbolic 3–manifolds4
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal4
Classification results for expanding and shrinking gradient Kähler–Ricci solitons4
dp–convergence and ?–regularity theorems for entropy and scalar curvature lower bounds4
The geometry of groups containing almost normal subgroups4
Kaledin’s degeneration theorem and topological Hochschild homology4
On the equivalence of contact invariants in sutured Floer homology theories4
Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations4
Simplifying Weinstein Morse functions4
Marked points on translation surfaces4
Kähler manifolds with almost nonnegative curvature4
Duality between Lagrangian and Legendrian invariants4
Homological stability and densities of generalized configuration spaces4
Holomorphic Legendrian curves in ℂℙ3 and superminimal surfaces in ?44
Quasipositive links and Stein surfaces4
On the vanishing topology of isolated Cohen–Macaulay codimension 2 singularities3
Derived equivalences of hyperkähler varieties3
Conformal blocks from vertex algebras and their connections on ℳg,n3
Large-scale geometry of big mapping class groups3
Volume forms on moduli spaces of d–differentials3
Categorical wall-crossing formula for Donaldson–Thomas theory on the resolved conifold3
Towards conservativity of ?m–stabilization3
The 2–primary Hurewicz image of tmf3
Linear independence of rationally slice knots3
Supersymmetric field theories and the elliptic index theorem with complex coefficients3
Linear bounds for constants in Gromov’s systolic inequality and related results3
Extending fibrations of knot complements to ribbon disk complements3
Codimension-1 simplices in divisible convex domains3
Free Seifert pieces of pseudo-Anosov flows3
The Gromov–Hausdorff distance between spheres3
Inner geometry of complex surfaces: a valuative approach3
Asymmetric L–space knots3
Enumeration of holomorphic cylinders in log Calabi–Yau surfaces, II : Positivity, integrality and the gluing formula3
An average John theorem3
The Jordan property for local fundamental groups3
Cabling in terms of immersed curves3
Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions3
Embedded surfaces with infinite cyclic knot group3
A universal Hochschild–Kostant–Rosenberg theorem3
Combinatorial Ricci flows and the hyperbolization of a class of compact 3–manifolds3
On the escape rate of geodesic loops in an open manifold with nonnegative Ricci curvature3
The Weil–Petersson gradient flow of renormalized volume and 3–dimensional convex cores3
Anosov representations with Lipschitz limit set3
Invariants of 4–manifolds from Khovanov–Rozansky link homology3
Moduli theory, stability of fibrations and optimal symplectic connections3
Pseudoholomorphic curves relative to a normal crossings symplectic divisor: compactification3
Isotopy of the Dehn twist on K3 # K3 after a single stabilization3
A calculus for bordered Floer homology3
Analytic tangent cones of admissible Hermitian Yang–Mills connections2
The cosmetic crossing conjecture for split links2
The nonabelian Brill–Noether divisor on ℳ13 and the Kodaira dimension of ℛ132
On the monopole Lefschetz number of finite-order diffeomorphisms2
Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity2
A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve2
Noncollapsed degeneration of Einstein 4–manifolds, I2
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions2
From flops to diffeomorphism groups2
Convex cocompact actions of relatively hyperbolic groups2
The Gamma and Strominger–Yau–Zaslow conjectures : a tropical approach to periods2
Factorization statistics and bug-eyed configuration spaces2
The Gromov–Lawson codimension 2 obstruction to positive scalar curvature and the C∗–index2
Algebraic Spivak’s theorem and applications2
Salem number stretch factors and totally real fields arising from Thurston’s construction2
Noncollapsed degeneration of Einstein 4–manifolds, II2
Contact three-manifolds with exactly two simple Reeb orbits2
Classifying sections of del Pezzo fibrations, II2
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold2
Characteristic classes via 4–dimensional gauge theory2
Cyclic homology, S1–equivariant Floer cohomology and Calabi–Yau structures2
Hamiltonian no-torsion2
Quadratic differentials and circle patterns on complex projective tori2
Power operations in the Stolz–Teichner program2
The Legendrian Whitney trick2
The combinatorial formula for open gravitational descendents2
Symplectic resolutions of character varieties2
Unimodular measures on the space of all Riemannian manifolds2
Microlocal theory of Legendrian links and cluster algebras2
Compact hyperbolic manifolds without spin structures2
L–space knots have no essential Conway spheres2
A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves2
The space of almost calibrated (1,1)–forms on a compact Kähler manifold2
Ancient mean curvature flows out of polytopes1
Coarse-median preserving automorphisms1
Cellular objects in isotropic motivic categories1
Distinguishing open symplectic mapping tori via their wrapped Fukaya categories1
Equations of linear subvarieties of strata of differentials1
Algebraic uniqueness of Kähler–Ricci flow limits and optimal degenerations of Fano varieties1
Combinatorial Reeb dynamics on punctured contact 3–manifolds1
Scalar and mean curvature comparison via the Dirac operator1
The volume of pseudoeffective line bundles and partial equilibrium1
Vanishing cycles, plane curve singularities and framed mapping class groups1
On the coniveau of rationally connected threefolds1
Quantisation of derived Lagrangians1
Stable maps to Looijenga pairs1
Weighted K–stability and coercivity with applications to extremal Kähler and Sasaki metrics1
On Kodaira fibrations with invariant cohomology1
The quantum Witten–Kontsevich series and one-part double Hurwitz numbers1
Moduli of spherical tori with one conical point1
Alexandrov spaces with maximal radius1
Braid monodromy of univariate fewnomials1
A homological model for Uq??2 Verma modules and their braid representations1
Quasicomplementary foliations and the Mather–Thurston theorem1
The induced metric on the boundary of the convex hull of a quasicircle in hyperbolic and anti-de Sitter geometry1
The Engel–Lutz twist and overtwisted Engel structures1
Random trees in the boundary of outer space1
Counting hyperbolic multigeodesics with respect to the lengths of individual components and asymptotics of Weil–Petersson volumes1
Positive scalar curvature on manifolds with odd order abelian fundamental groups1
Algebraic cobordism and étale cohomology1
Geodesic coordinates for the pressure metric at the Fuchsian locus1
On the geometry of asymptotically flat manifolds1
The homology of the Temperley–Lieb algebras1
Embedding calculus and smooth structures1
Surface group representations in SL2(ℂ) with finite mapping class orbits1
The desingularization of the theta divisor of a cubic threefold as a moduli space1
Twisted Brin–Thompson groups1
On cubulated relatively hyperbolic groups1
Global rigidity of some abelian-by-cyclic group actions on ?21
Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II : Branching foliations1
Hyperbolic groups acting improperly1
Producing 3D Ricci flows with nonnegative Ricci curvature via singular Ricci flows1
Shear-shape cocycles for measured laminations and ergodic theory of the earthquake flow1
Instanton Floer homology of almost-rational plumbings1
Homological eigenvalues of lifts of pseudo-Anosov mapping classes to finite covers1
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