OOIR: Observatory of International Research

Papers

(The TQCC of Geometry & Topology is 4. 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 2020-05-01 to 2024-05-01.)

Article	Citations
Reflection positivity and invertible topological phases	92
The quantum tropical vertex	24
HF=HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology	21
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	18
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
Augmentations are sheaves	13
HF=HM, III : Holomorphic curves and the differential for the ech/Heegaard Floer correspondence	12
Khovanov homotopy type, Burnside category and products	12
New differential operator and noncollapsed RCD spaces	11
HF=HM, V : Seiberg–Witten Floer homology and handle additions	10
HF=HM, IV : The Seiberg–Witten Floer homology and ech correspondence	10
Bounds on spectral norms and barcodes	10
HF=HM, II : Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence	10
Higher genus relative and orbifold Gromov–Witten invariants	10
Anosov groups: local mixing, counting and equidistribution	9
Anomalous partially hyperbolic diffeomorphisms III: Abundance and incoherence	9
A gluing formula for families Seiberg–Witten invariants	9
A new cohomology class on the moduli space of curves	9
Isotopies of surfaces in 4–manifolds via banded unlink diagrams	8
Monopole contributions to refined Vafa–Witten invariants	8
Bridge trisections in ℂℙ2 and the Thom conjecture	8

Rigidity of mapping class group actions on S1	8
Mayer–Vietoris property for relative symplectic cohomology	8
A construction of the quantum Steenrod squares and their algebraic relations	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	7
Correction to the article Boundaries and automorphisms of hierarchically hyperbolic spaces	7
Commensurating HNN extensions: nonpositive curvature and biautomaticity	7
The cohomology rings of smooth toric varieties and quotients of moment-angle complexes	7
Hurwitz theory of elliptic orbifolds, I	7
Homological mirror symmetry for log Calabi–Yau surfaces	6
The structure of submetries	6
Cohomological χ–independence for moduli of one-dimensional sheaves and moduli of Higgs bundles	6
Optimal destabilization of K–unstable Fano varieties via stability thresholds	6
Stability conditions and moduli spaces for Kuznetsov components of Gushel–Mukai varieties	6
Discrete conformal geometry of polyhedral surfaces and its convergence	5
Homology of torus knots	5
Transverse invariants and exotic surfaces in the 4–ball	5
Barcodes and area-preserving homeomorphisms	5
Taming the pseudoholomorphic beasts in ℝ × (S1× S2)	5
The theory of N–mixed-spin-P fields	5
Knot Floer homology and the unknotting number	5
Equivariant Hodge theory and noncommutative geometry	5
Legendrian weaves : N–graph calculus, flag moduli and applications	5
Complete noncompact Spin(7) manifolds from self-dual Einstein 4–orbifolds	5
On the top-dimensional cohomology groups of congruence subgroups of SL(n, ℤ)	5
?1–connected components of ruled surfaces	4
Abelian quotients of the Y –filtration on the homology cylinders via the LMO functor	4
Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations	4
Simplifying Weinstein Morse functions	4
Trees of metric compacta and trees of manifolds	4
Kähler groups and subdirect products of surface groups	4
Hyperbolicity and cubulability are preserved under elementary equivalence	4
Rational Pontryagin classes of Euclidean fiber bundles	4
Quasipositive links and Stein surfaces	4
Asymptotically rigid mapping class groups, I : Finiteness properties of braided Thompson’s and Houghton’s groups	4
Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries	4
Kähler manifolds with almost nonnegative curvature	4
Hilbert schemes and y–ification of Khovanov–Rozansky homology	4
Holomorphic Legendrian curves in ℂℙ3 and superminimal surfaces in ?4	4
Kaledin’s degeneration theorem and topological Hochschild homology	4
Holomorphic one-forms without zeros on threefolds	4
Effective bilipschitz bounds on drilling and filling	4
Eilenberg–Mac Lane spectra as equivariant Thom spectra	4
Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics	4