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 2021-12-01 to 2025-12-01.)

Article	Citations
	42
	25
Random unitary representations of surface groups, II : The large n limit	23
Scalar and mean curvature comparison via the Dirac operator	17
Chromatic cyclotomic extensions	15
	14
Graded character sheaves, HOMFLY-PT homology, and Hilbert schemes of points on ℂ2	13
Classifying sections of del Pezzo fibrations, II	12
The local (co)homology theorems for equivariant bordism	12
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions	12
	11
Lower Ricci curvature and nonexistence of manifold structure	11
Legendrian weaves : N–graph calculus, flag moduli and applications	11
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold	11
Moduli of spherical tori with one conical point	11
Codimension-1 simplices in divisible convex domains	11
The smooth classification of 4-dimensional complete intersections	11
Quantisation of derived Poisson structures	11
	11
Coarse-median preserving automorphisms	11
	10
The homology of the Temperley–Lieb algebras	10
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal	9
Closed geodesics with prescribed intersection numbers	9
On Borel Anosov subgroups of SL(d, ℝ)	9

Monodromy of Schwarzian equations with regular singularities	9
Duality between Lagrangian and Legendrian invariants	9
The cosmetic crossing conjecture for split links	8
Geodesic coordinates for the pressure metric at the Fuchsian locus	8
Localization in Khovanov homology	8
The chromatic colocalization of the spherical units is of height 1	8
The signature and cusp geometry of hyperbolic knots	8
Discrete subgroups of small critical exponent	8
Rigidity and geometricity for surface group actions on the circle	7
Tunnel number one knots satisfy the Berge conjecture	7
Equivariant aspects of singular instanton Floer homology	7
Boundaries of relative factor graphs and subgroup classification for automorphisms of free products	7
Producing 3D Ricci flows with nonnegative Ricci curvature via singular Ricci flows	7
Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface	7
Orbifold bordism and duality for finite orbispectra	7
Categorical wall-crossing formula for Donaldson–Thomas theory on the resolved conifold	7
Holomorphic 1–forms on the moduli space of curves	6
Zariski dense surface groups in SL(2k + 1, ℤ)	6
Automorphisms of surfaces over fields of positive characteristic	6
	6
Hyperbolic groups acting improperly	6
Cabling in terms of immersed curves	6
Convex cocompact actions of relatively hyperbolic groups	6
Taut foliations, left orders, and pseudo-Anosov mapping tori	6
Seiberg–Witten and Gromov invariants for self-dual harmonic 2–forms	6
Homological mirror symmetry for log Calabi–Yau surfaces	6
Intersection theory on moduli of disks, open KdV and Virasoro	6
On automorphisms of high-dimensional solid tori	6
Rational Pontryagin classes of Euclidean fiber bundles	5
On definite lattices bounded by a homology 3–sphere and Yang–Mills instanton Floer theory	5
Topological dualities in the Ising model	5
Algebraic models for classifying spaces of fibrations	5
Homological mirror symmetry for hypertoric varieties, II	5
	5
Valuations on the character variety: Newton polytopes and residual Poisson bracket	5
	5
Exotic Dehn twists on sums of two contact 3-manifolds	5
Helly groups	5
On self-shrinkers of medium entropy in ℝ4	5
	5
Large-scale geometry of big mapping class groups	5
The triangulation complexity of fibred 3–manifolds	5
Alexandrov spaces with maximal radius	4
Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes	4
Chern characters for supersymmetric field theories	4
Stable cuspidal curves and the integral Chow ring of ℳ2,1	4
The combinatorial formula for open gravitational descendents	4
Orbit equivalences of ℝ–covered Anosov flows and hyperbolic-like actions on the line	4
Instanton Floer homology of almost-rational plumbings	4
	4

Cellular objects in isotropic motivic categories	4
The motivic lambda algebra and motivic Hopf invariant one problem	4
The asymmetry of Thurston’s earthquake flow	4
Subgroups of genus-2 quasi-Fuchsian groups and cocompact Kleinian groups	4
On boundedness and moduli spaces of K-stable Calabi–Yau fibrations over curves	4
Embedding surfaces in 4–manifolds	4
The 2–primary Hurewicz image of tmf	4
Homology of torus knots	4
Topologically trivial proper 2-knots	4
Surface group representations in SL2(ℂ) with finite mapping class orbits	4
Parametric inequalities and Weyl law for the volume spectrum	4
Formal groups and quantum cohomology	4
The spheres of Sol	4
The Manhattan curve, ergodic theory of topological flows and rigidity	4
Compact moduli of elliptic K3 surfaces	4