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 2021-08-01 to 2025-08-01.)

Article	Citations
	39
Scalar and mean curvature comparison via the Dirac operator	27
Random unitary representations of surface groups, II : The large n limit	23
Chromatic cyclotomic extensions	21
	15
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions	12
The local (co)homology theorems for equivariant bordism	11
	11
Classifying sections of del Pezzo fibrations, II	11
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold	10
	10
Braid monodromy of univariate fewnomials	9
Coarse-median preserving automorphisms	9
Codimension-1 simplices in divisible convex domains	9
The smooth classification of 4-dimensional complete intersections	9
	9
Legendrian weaves : N–graph calculus, flag moduli and applications	9
Lower Ricci curvature and nonexistence of manifold structure	9
Moduli of spherical tori with one conical point	9
Closed geodesics with prescribed intersection numbers	8
Monodromy of Schwarzian equations with regular singularities	8
Geodesic coordinates for the pressure metric at the Fuchsian locus	8
	8
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal	8
Orbifold bordism and duality for finite orbispectra	8

The homology of the Temperley–Lieb algebras	8
On Kodaira fibrations with invariant cohomology	8
On Borel Anosov subgroups of SL(d, ℝ)	8
Duality between Lagrangian and Legendrian invariants	8
Categorical wall-crossing formula for Donaldson–Thomas theory on the resolved conifold	7
The signature and cusp geometry of hyperbolic knots	7
Boundaries of relative factor graphs and subgroup classification for automorphisms of free products	7
The cosmetic crossing conjecture for split links	7
Localization in Khovanov homology	7
Rigidity and geometricity for surface group actions on the circle	7
Discrete subgroups of small critical exponent	7
Equivariant aspects of singular instanton Floer homology	7
Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface	7
Zariski dense surface groups in SL(2k + 1, ℤ)	6
On the vanishing topology of isolated Cohen–Macaulay codimension 2 singularities	6
Hyperbolic groups acting improperly	6
Homological mirror symmetry for log Calabi–Yau surfaces	6
Producing 3D Ricci flows with nonnegative Ricci curvature via singular Ricci flows	6
Cabling in terms of immersed curves	6
Seiberg–Witten and Gromov invariants for self-dual harmonic 2–forms	6
Holomorphic 1–forms on the moduli space of curves	6
Intersection theory on moduli of disks, open KdV and Virasoro	6
On automorphisms of high-dimensional solid tori	6
	5
Global rigidity of some abelian-by-cyclic group actions on ????2	5
Automorphisms of surfaces over fields of positive characteristic	5
Taut foliations, left orders, and pseudo-Anosov mapping tori	5
Large-scale geometry of big mapping class groups	5
Convex cocompact actions of relatively hyperbolic groups	5
	5
The triangulation complexity of fibred 3–manifolds	5
	4
Parametric inequalities and Weyl law for the volume spectrum	4
The combinatorial formula for open gravitational descendents	4
Cellular objects in isotropic motivic categories	4
The motivic lambda algebra and motivic Hopf invariant one problem	4
On definite lattices bounded by a homology 3–sphere and Yang–Mills instanton Floer theory	4
Topological dualities in the Ising model	4
Helly groups	4
Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes	4
Topologically trivial proper 2-knots	4
Formal groups and quantum cohomology	4
Surface group representations in SL2(ℂ) with finite mapping class orbits	4
On self-shrinkers of medium entropy in ℝ4	4
Rational Pontryagin classes of Euclidean fiber bundles	4
Transverse invariants and exotic surfaces in the 4–ball	4
Valuations on the character variety: Newton polytopes and residual Poisson bracket	4
Chern characters for supersymmetric field theories	4
The asymmetry of Thurston’s earthquake flow	4
Homology of torus knots	4

Stable cuspidal curves and the integral Chow ring of ℳ2,1	4
	4
Alexandrov spaces with maximal radius	4
Exotic Dehn twists on sums of two contact 3-manifolds	4