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 2022-08-01 to 2026-08-01.)
ArticleCitations
50
30
Chromatic cyclotomic extensions23
Random unitary representations of surface groups, II : The large n limit19
18
Scalar and mean curvature comparison via the Dirac operator18
The local (co)homology theorems for equivariant bordism17
On pro-cdh descent on derived schemes17
Classifying sections of del Pezzo fibrations, II16
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold15
Torus diffeomorphisms with parabolic and nonproper actions on the fine curve graph and their generalized rotation sets15
Graded character sheaves, HOMFLY-PT homology, and Hilbert schemes of points on ℂ215
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions15
Quantisation of derived Poisson structures15
Lower Ricci curvature and nonexistence of manifold structure14
14
Limits of asymptotically Fuchsian surfaces in a closed hyperbolic 3-manifold13
Coarse-median preserving automorphisms13
The chromatic colocalization of the spherical units is of height 113
Moduli of spherical tori with one conical point13
Fukaya categories of hyperplane arrangements13
Legendrian weaves : N–graph calculus, flag moduli and applications13
The smooth classification of 4-dimensional complete intersections13
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal12
The homology of the Temperley–Lieb algebras11
Monodromy of Schwarzian equations with regular singularities11
Closed geodesics with prescribed intersection numbers11
On Borel Anosov subgroups of SL(d, ℝ)11
Duality between Lagrangian and Legendrian invariants11
Discrete subgroups of small critical exponent10
Rigidity and geometricity for surface group actions on the circle10
The cosmetic crossing conjecture for split links10
Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface10
Zippers9
Geodesic coordinates for the pressure metric at the Fuchsian locus9
Equivariant aspects of singular instanton Floer homology9
Categorical wall-crossing formula for Donaldson–Thomas theory on the resolved conifold9
Localization in Khovanov homology9
Orbifold bordism and duality for finite orbispectra9
Tunnel number one knots satisfy the Berge conjecture9
Hyperbolic groups acting improperly8
Degenerating conic Kähler–Einstein metrics to the normal cone8
Automorphisms of surfaces over fields of positive characteristic8
Intersection theory on moduli of disks, open KdV and Virasoro8
Zariski dense surface groups in SL(2k + 1, ℤ)8
Homological mirror symmetry for log Calabi–Yau surfaces8
Convex cocompact actions of relatively hyperbolic groups8
Cabling in terms of immersed curves8
The signature and cusp geometry of hyperbolic knots8
Seiberg–Witten and Gromov invariants for self-dual harmonic 2–forms8
Holomorphic 1–forms on the moduli space of curves8
On automorphisms of high-dimensional solid tori8
Homological mirror symmetry for hypertoric varieties, II7
Algebraic models for classifying spaces of fibrations7
Exotic Dehn twists on sums of two contact 3-manifolds7
Large-scale geometry of big mapping class groups7
Taut foliations, left orders, and pseudo-Anosov mapping tori7
Helly groups7
7
The triangulation complexity of fibred 3–manifolds6
Valuations on the character variety: Newton polytopes and residual Poisson bracket6
Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes6
6
6
Stable cuspidal curves and the integral Chow ring of ℳ2,16
Parametric inequalities and Weyl law for the volume spectrum6
Topological dualities in the Ising model6
6
On definite lattices bounded by a homology 3–sphere and Yang–Mills instanton Floer theory6
The motivic lambda algebra and motivic Hopf invariant one problem6
Chromatic defect, Wood’s theorem and higher real K-theories5
Satellite knots and immersed Heegaard Floer homology5
Stability for the 3D Riemannian Penrose inequality5
The combinatorial formula for open gravitational descendents5
Formal groups and quantum cohomology5
Alexandrov spaces with maximal radius5
Symplectomorphisms of some Weinstein 4-manifolds5
Topologically trivial proper 2-knots5
The asymmetry of Thurston’s earthquake flow5
The 2–primary Hurewicz image of tmf5
Cellular objects in isotropic motivic categories5
On self-shrinkers of medium entropy in ℝ45
Chern characters for supersymmetric field theories5
Orbit equivalences of ℝ–covered Anosov flows and hyperbolic-like actions on the line5
5
Unit inclusion in a (nonsemisimple) braided tensor category and (noncompact) relative TQFTs4
Embedding surfaces in 4–manifolds4
The spheres of Sol4
Effective bilipschitz bounds on drilling and filling4
4
A Weiss–Williams theorem for spaces of embeddings and the homotopy type of spaces of long knots4
Subgroups of genus-2 quasi-Fuchsian groups and cocompact Kleinian groups4
Degree two Gopakumar–Vafa invariants of local curves4
Orbifold stability and Miyaoka–Yau inequality for minimal pairs4
4
4
Instanton Floer homology of almost-rational plumbings4
On boundedness and moduli spaces of K-stable Calabi–Yau fibrations over curves4
The Manhattan curve, ergodic theory of topological flows and rigidity4
Compact moduli of elliptic K3 surfaces4
Quantum K-invariants and Gopakumar–Vafa invarints, II : Calabi–Yau threefolds at genus zero4
Cubulated hyperbolic groups admit Anosov representations4
CAT(0) 4–manifolds are Euclidean4
Deformations and desingularizations of conically singular associative submanifolds4
Endperiodic maps via pseudo-Anosov flows3
Ancient solutions to the Kähler Ricci flow3
Linking numbers of modular knots3
Isometry groups with radical, and aspherical Riemannian manifolds with large symmetry, I3
3
Quantum Steenrod operations of symplectic resolutions3
Derived equivalences of hyperkähler varieties3
Extensions of multicurve stabilizers are hierarchically hyperbolic3
Invariants of 4–manifolds from Khovanov–Rozansky link homology3
A higher-rank rigidity theorem for convex real projective manifolds3
A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves3
Quantitative Thomas–Yau uniqueness3
The structure of submetries3
Morse actions of discrete groups on symmetric spaces: local-to-global principle3
Discrete subgroups with finite Bowen–Margulis–Sullivan measure in higher rank3
Algebraic K-theory of elliptic cohomology3
The Gromov–Hausdorff distance between spheres3
3
Springer theory for symplectic Galois groups3
Shear-shape cocycles for measured laminations and ergodic theory of the earthquake flow3
The Weil–Petersson gradient flow of renormalized volume and 3–dimensional convex cores3
3
3
A cubical model for (∞,n)-categories3
Twisted Brin–Thompson groups3
Relations in singular instanton homology3
Compact holonomy G2 manifolds need not be formal2
Towards logarithmic GLSM : the r–spin case2
Closed Ricci flows with singularities modeled on asymptotically conical shrinkers2
Global homotopy theory via partially lax limits2
K3 surfaces associated with varieties of generalized Kummer type2
The deformation space of geodesic triangulations and generalized Tutte’s embedding theorem2
Isoperimetric inequalities vs upper curvature bounds2
Joyce structures on spaces of quadratic differentials2
Vanishing lines in chromatic homotopy theory2
Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions2
Closed geodesics in dilation surfaces2
Two-dimensional metric spaces with curvature bounded above, I2
Prym representations and twisted cohomology of the mapping class group with level structures2
Examples of non-Kähler Calabi–Yau 3–folds with arbitrarily large b22
Algebraic Spivak’s theorem and applications2
Pseudoholomorphic curves relative to a normal crossings symplectic divisor: compactification2
Combinatorial Ricci flows and the hyperbolization of a class of compact 3–manifolds2
Independence of singularity type for numerically effective Kähler–Ricci flows2
On the high-dimensional geography problem2
2
On termination of flips and exceptionally noncanonical singularities2
Heegaard Floer homology and integer surgeries on links2
The conjugacy problem for UPG elements of Out(Fn)2
Noncollapsed degeneration of Einstein 4–manifolds, II2
Pseudo-Anosovs are exponentially generic in mapping class groups2
The higher-dimensional tropical vertex2
Lee filtration structure of torus links2
Volume growth of Funk geometry and the flags of polytopes2
Embedded surfaces with infinite cyclic knot group2
Trivalent vertices and bordered knot Floer homology in the standard basis2
The nonabelian Brill–Noether divisor on ℳ13 and the Kodaira dimension of ℛ132
On the logarithmic slice filtration2
Anosov groups: local mixing, counting and equidistribution2
Linear bounds for constants in Gromov’s systolic inequality and related results2
Resonant forms at zero for dissipative Anosov flows2
Isotopy of the Dehn twist on K3 # K3 after a single stabilization2
Fixed-point-free pseudo-Anosov homeomorphisms, knot Floer homology and the cinquefoil2
Ulrich sheaves, the arithmetic writhe and algebraic isotopies of space curves2
Quantisation of derived Lagrangians2
Packing Lagrangian tori1
Classification of bubble-sheet ovals in ℝ41
A new cohomology class on the moduli space of curves1
Counting hyperbolic multigeodesics with respect to the lengths of individual components and asymptotics of Weil–Petersson volumes1
Equations of linear subvarieties of strata of differentials1
3–Manifolds without any embedding in symplectic 4–manifolds1
AGT relations for sheaves on surfaces1
Instantons, special cycles and knot concordance1
Combinatorial Reeb dynamics on punctured contact 3–manifolds1
Weighted K–stability and coercivity with applications to extremal Kähler and Sasaki metrics1
Behrend’s function is not constant on Hilbn(????3)1
1
Small-energy isotopies of loose Legendrian submanifolds1
Small Dehn surgery and SU(2)1
Volume forms on moduli spaces of d–differentials1
Configuration spaces of disks in a strip, twisted algebras, persistence, and other stories1
Odd primary analogs of real orientations1
Positivity and the Kodaira embedding theorem1
Operations on spectral partition Lie algebras and TAQ cohomology1
Stable maps to Looijenga pairs1
1
O(2)-symmetry of 3D steady gradient Ricci solitons1
Congruences on K–theoretic Gromov–Witten invariants1
Scattering amplitudes of stable curves1
Realizability in tropical geometry and unobstructedness of Lagrangian submanifolds1
Gromov–Witten theory via roots and logarithms1
On the subvarieties with nonsingular real loci of a real algebraic variety1
The quantum Witten–Kontsevich series and one-part double Hurwitz numbers1
Ancient mean curvature flows out of polytopes1
Thurston’s bounded image theorem1
Teichmüller curves in genus two : square-tiled surfaces and modular curves1
Free boundary flow with surgery1
A landscape of contact manifolds via rational SFT1
Tautological classes of definite 4–manifolds1
L–space knots have no essential Conway spheres1
Lp-cohomology for higher-rank spaces and groups : critical exponents and rigidity1
A homological model for Uq????????2 Verma modules and their braid representations1
Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity1
Embedding calculus and smooth structures1
Homological mirror symmetry for hypertoric varieties, I: Conic equivariant sheaves1
Correction to the article Bimodules in bordered Heegaard Floer homology1
Mutations and faces of the Thurston norm ball dynamically represented by multiple distinct flows1
The string coproduct “knows” Reidemeister/Whitehead torsion1
Reeb flows transverse to foliations1
Discrete conformal geometry of polyhedral surfaces and its convergence1
1
Asymptotic homology of graph braid groups1
Asymptotically Calabi metrics and weak Fano manifolds1
Smallest noncyclic quotients of braid and mapping class groups1
On the cohomological dimension of kernels of maps to ℤ1
A tropical computation of refined toric invariants1
An h-principle for complements of discriminants1
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