OOIR: Observatory of International Research

Papers

(The TQCC of Geometry & Topology is 3. 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 2020-03-01 to 2024-03-01.)

Article	Citations
Reflection positivity and invertible topological phases	81
The quantum tropical vertex	23
HF=HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology	18
On the topology and the boundary of N–dimensional RCD(K,N) spaces	18
Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions	16
Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry	16
More concordance homomorphisms from knot Floer homology	14
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces	13
Topological dualities in the Ising model	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
Conical metrics on Riemann surfaces, I: The compactified configuration space and regularity	9
Higher genus relative and orbifold Gromov–Witten invariants	9
A gluing formula for families Seiberg–Witten invariants	9
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
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

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
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
A homology theory for tropical cycles on integral affine manifolds and a perfect pairing	6
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
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
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
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
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
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
Supersymmetric field theories and the elliptic index theorem with complex coefficients	3
Free Seifert pieces of pseudo-Anosov flows	3
Eilenberg–Mac Lane spectra as equivariant Thom spectra	3
Closed ideal planar curves	3
Pluripotential Kähler–Ricci flows	3
Asymmetric L–space knots	3

Inner geometry of complex surfaces: a valuative approach	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
The higher-dimensional tropical vertex	3
Pseudoholomorphic curves relative to a normal crossings symplectic divisor: compactification	3
An average John theorem	3
GL2ℝ–invariant measures in marked strata : generic marked points, Earle–Kra for strata and illumination	3
(ℝℙ2n−1,ξstd) is not exactly fillable for n≠2k	3
Asymptotically rigid mapping class groups, I : Finiteness properties of braided Thompson’s and Houghton’s groups	3
The geometry of groups containing almost normal subgroups	3
Towards conservativity of ?m–stabilization	3
Versality of the relative Fukaya category	3
Enumeration of holomorphic cylinders in log Calabi–Yau surfaces, II : Positivity, integrality and the gluing formula	3
A refinement of Khovanov homology	3
Duality between Lagrangian and Legendrian invariants	3
Moduli theory, stability of fibrations and optimal symplectic connections	3
Hyperbolicity and cubulability are preserved under elementary equivalence	3
Orbifold stability and Miyaoka–Yau inequality for minimal pairs	3
Holomorphic Legendrian curves in ℂℙ3 and superminimal surfaces in ?4	3
Effective bilipschitz bounds on drilling and filling	3
Hilbert schemes and y–ification of Khovanov–Rozansky homology	3
Chromatic splitting for the K(2)–local sphere at p = 2	3
Quasipositive links and Stein surfaces	3
On the equivalence of contact invariants in sutured Floer homology theories	3