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 2020-10-01 to 2024-10-01.)

Article	Citations
Reflection positivity and invertible topological phases	106
HF=HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology	26
Topological dualities in the Ising model	21
On the topology and the boundary of N–dimensional RCD(K,N) spaces	20
Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions	19
Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry	17
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces	16
HF=HM, III : Holomorphic curves and the differential for the ech/Heegaard Floer correspondence	15
More concordance homomorphisms from knot Floer homology	15
HF=HM, V : Seiberg–Witten Floer homology and handle additions	14
Bounds on spectral norms and barcodes	13
HF=HM, IV : The Seiberg–Witten Floer homology and ech correspondence	13
New differential operator and noncollapsed RCD spaces	13
HF=HM, II : Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence	13
Augmentations are sheaves	13
A new cohomology class on the moduli space of curves	11
Monopole contributions to refined Vafa–Witten invariants	10
Higher genus relative and orbifold Gromov–Witten invariants	10
Anosov groups: local mixing, counting and equidistribution	10
Anomalous partially hyperbolic diffeomorphisms III: Abundance and incoherence	10
Mayer–Vietoris property for relative symplectic cohomology	9
A homology theory for tropical cycles on integral affine manifolds and a perfect pairing	8
Cohomological χ–independence for moduli of one-dimensional sheaves and moduli of Higgs bundles	8
Knot Floer homology and the unknotting number	8
The cohomology rings of smooth toric varieties and quotients of moment-angle complexes	8

Optimal destabilization of K–unstable Fano varieties via stability thresholds	8
Equivariant Hodge theory and noncommutative geometry	8
A vanishing theorem for tautological classes of aspherical manifolds	8
Hurwitz theory of elliptic orbifolds, I	8
Commensurating HNN extensions: nonpositive curvature and biautomaticity	7
Complete noncompact Spin(7) manifolds from self-dual Einstein 4–orbifolds	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
Homological mirror symmetry for log Calabi–Yau surfaces	6
Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics	6
Rational Pontryagin classes of Euclidean fiber bundles	6
The structure of submetries	6
Barcodes and area-preserving homeomorphisms	6
Homology of torus knots	6
Legendrian weaves : N–graph calculus, flag moduli and applications	6
Transverse invariants and exotic surfaces in the 4–ball	6
Discrete conformal geometry of polyhedral surfaces and its convergence	6
Asymptotically rigid mapping class groups, I : Finiteness properties of braided Thompson’s and Houghton’s groups	5
Chromatic splitting for the K(2)–local sphere at p = 2	5
The theory of N–mixed-spin-P fields	5
Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries	5
Taming the pseudoholomorphic beasts in ℝ × (S1× S2)	5
Abelian quotients of the Y –filtration on the homology cylinders via the LMO functor	5
Effective bilipschitz bounds on drilling and filling	5
Orbifold stability and Miyaoka–Yau inequality for minimal pairs	5
Hilbert schemes and y–ification of Khovanov–Rozansky homology	5
Complex algebraic compactifications of the moduli space of Hermitian Yang–Mills connections on a projective manifold	5
Floer theory and reduced cohomology on open manifolds	4
The higher-dimensional tropical vertex	4
Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds	4
?1–connected components of ruled surfaces	4
A higher-rank rigidity theorem for convex real projective manifolds	4
A refinement of Khovanov homology	4
Holomorphic one-forms without zeros on threefolds	4
Floer homology, group orderability, and taut foliations of hyperbolic 3–manifolds	4
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal	4
Classification results for expanding and shrinking gradient Kähler–Ricci solitons	4
dp–convergence and ?–regularity theorems for entropy and scalar curvature lower bounds	4
The geometry of groups containing almost normal subgroups	4
Kaledin’s degeneration theorem and topological Hochschild homology	4
On the equivalence of contact invariants in sutured Floer homology theories	4
Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations	4
Simplifying Weinstein Morse functions	4
Marked points on translation surfaces	4
Kähler manifolds with almost nonnegative curvature	4
Duality between Lagrangian and Legendrian invariants	4
Homological stability and densities of generalized configuration spaces	4
Holomorphic Legendrian curves in ℂℙ3 and superminimal surfaces in ?4	4
Quasipositive links and Stein surfaces	4
On the isometric conjecture of Banach	4

(ℝℙ2n−1,ξstd) is not exactly fillable for n≠2k	4
Eilenberg–Mac Lane spectra as equivariant Thom spectra	4
Boundaries of relative factor graphs and subgroup classification for automorphisms of free products	4