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 2020-08-01 to 2024-08-01.)

Article	Citations
Reflection positivity and invertible topological phases	102
HF=HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology	24
The quantum tropical vertex	24
Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions	19
Topological dualities in the Ising model	18
On the topology and the boundary of N–dimensional RCD(K,N) spaces	18
Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry	17
More concordance homomorphisms from knot Floer homology	15
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces	15
Khovanov homotopy type, Burnside category and products	14
HF=HM, III : Holomorphic curves and the differential for the ech/Heegaard Floer correspondence	14
HF=HM, V : Seiberg–Witten Floer homology and handle additions	13
Augmentations are sheaves	13
HF=HM, IV : The Seiberg–Witten Floer homology and ech correspondence	12
Bounds on spectral norms and barcodes	12
HF=HM, II : Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence	12
New differential operator and noncollapsed RCD spaces	12
Higher genus relative and orbifold Gromov–Witten invariants	10
Anomalous partially hyperbolic diffeomorphisms III: Abundance and incoherence	10
Anosov groups: local mixing, counting and equidistribution	10
Monopole contributions to refined Vafa–Witten invariants	9
Isotopies of surfaces in 4–manifolds via banded unlink diagrams	9
A gluing formula for families Seiberg–Witten invariants	9
Mayer–Vietoris property for relative symplectic cohomology	9
A new cohomology class on the moduli space of curves	9

Rigidity of mapping class group actions on S1	8
Bridge trisections in ℂℙ2 and the Thom conjecture	8
The cohomology rings of smooth toric varieties and quotients of moment-angle complexes	8
Cohomological χ–independence for moduli of one-dimensional sheaves and moduli of Higgs bundles	8
Hurwitz theory of elliptic orbifolds, I	8
A homology theory for tropical cycles on integral affine manifolds and a perfect pairing	8
Correction to the article Boundaries and automorphisms of hierarchically hyperbolic spaces	8
Knot Floer homology and the unknotting number	8
A construction of the quantum Steenrod squares and their algebraic relations	7
Optimal destabilization of K–unstable Fano varieties via stability thresholds	7
Equivariant Hodge theory and noncommutative geometry	7
Commensurating HNN extensions: nonpositive curvature and biautomaticity	7
A vanishing theorem for tautological classes of aspherical manifolds	7
Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics	6
Legendrian weaves : N–graph calculus, flag moduli and applications	6
Transverse invariants and exotic surfaces in the 4–ball	6
Homological mirror symmetry for log Calabi–Yau surfaces	6
Rational Pontryagin classes of Euclidean fiber bundles	6
Stability conditions and moduli spaces for Kuznetsov components of Gushel–Mukai varieties	6
On the top-dimensional cohomology groups of congruence subgroups of SL(n, ℤ)	6
Barcodes and area-preserving homeomorphisms	6
Complete noncompact Spin(7) manifolds from self-dual Einstein 4–orbifolds	6
The structure of submetries	6
Complex algebraic compactifications of the moduli space of Hermitian Yang–Mills connections on a projective manifold	5
Orbifold stability and Miyaoka–Yau inequality for minimal pairs	5
Taming the pseudoholomorphic beasts in ℝ × (S1× S2)	5
Hilbert schemes and y–ification of Khovanov–Rozansky homology	5
Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries	5
Chromatic splitting for the K(2)–local sphere at p = 2	5
Abelian quotients of the Y –filtration on the homology cylinders via the LMO functor	5
Homology of torus knots	5
Trees of metric compacta and trees of manifolds	5
Discrete conformal geometry of polyhedral surfaces and its convergence	5
The theory of N–mixed-spin-P fields	5
Floer homology, group orderability, and taut foliations of hyperbolic 3–manifolds	4
Eilenberg–Mac Lane spectra as equivariant Thom spectra	4
Kähler groups and subdirect products of surface groups	4
Duality between Lagrangian and Legendrian invariants	4
Homological stability and densities of generalized configuration spaces	4
Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds	4
A higher-rank rigidity theorem for convex real projective manifolds	4
On the equivalence of contact invariants in sutured Floer homology theories	4
Holomorphic one-forms without zeros on threefolds	4
Asymptotically rigid mapping class groups, I : Finiteness properties of braided Thompson’s and Houghton’s groups	4
Floer theory and reduced cohomology on open manifolds	4
Hyperbolicity and cubulability are preserved under elementary equivalence	4
Holomorphic Legendrian curves in ℂℙ3 and superminimal surfaces in ?4	4
Kaledin’s degeneration theorem and topological Hochschild homology	4
On the isometric conjecture of Banach	4
Effective bilipschitz bounds on drilling and filling	4

Simplifying Weinstein Morse functions	4
Marked points on translation surfaces	4
Kähler manifolds with almost nonnegative curvature	4
The geometry of groups containing almost normal subgroups	4
?1–connected components of ruled surfaces	4
Quasipositive links and Stein surfaces	4
Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations	4