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 2022-01-01 to 2026-01-01.)

Article	Citations
	43
	25
Chromatic cyclotomic extensions	18
Random unitary representations of surface groups, II : The large n limit	15
Scalar and mean curvature comparison via the Dirac operator	15
Graded character sheaves, HOMFLY-PT homology, and Hilbert schemes of points on ℂ2	13
	13
The local (co)homology theorems for equivariant bordism	13
Classifying sections of del Pezzo fibrations, II	12
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold	12
Quantisation of derived Poisson structures	12
Lower Ricci curvature and nonexistence of manifold structure	11
	11
Coarse-median preserving automorphisms	11
	11
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions	11
The smooth classification of 4-dimensional complete intersections	11
Moduli of spherical tori with one conical point	11
The homology of the Temperley–Lieb algebras	10
Legendrian weaves : N–graph calculus, flag moduli and applications	10
	10
The chromatic colocalization of the spherical units is of height 1	9
On Borel Anosov subgroups of SL(d, ℝ)	9
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal	9
Monodromy of Schwarzian equations with regular singularities	9

Duality between Lagrangian and Legendrian invariants	9
Closed geodesics with prescribed intersection numbers	9
The cosmetic crossing conjecture for split links	8
Localization in Khovanov homology	8
Boundaries of relative factor graphs and subgroup classification for automorphisms of free products	8
Rigidity and geometricity for surface group actions on the circle	8
Discrete subgroups of small critical exponent	8
Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface	8
The signature and cusp geometry of hyperbolic knots	8
Geodesic coordinates for the pressure metric at the Fuchsian locus	8
Tunnel number one knots satisfy the Berge conjecture	8
Categorical wall-crossing formula for Donaldson–Thomas theory on the resolved conifold	7
Equivariant aspects of singular instanton Floer homology	7
Hyperbolic groups acting improperly	7
Orbifold bordism and duality for finite orbispectra	7
Holomorphic 1–forms on the moduli space of curves	7
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
	6
Taut foliations, left orders, and pseudo-Anosov mapping tori	6
Zariski dense surface groups in SL(2k + 1, ℤ)	6
On automorphisms of high-dimensional solid tori	6
Convex cocompact actions of relatively hyperbolic groups	6
Algebraic models for classifying spaces of fibrations	6
Cabling in terms of immersed curves	6
Automorphisms of surfaces over fields of positive characteristic	6
	6
Homological mirror symmetry for hypertoric varieties, II	6
On self-shrinkers of medium entropy in ℝ4	5
On definite lattices bounded by a homology 3–sphere and Yang–Mills instanton Floer theory	5
Helly groups	5
The triangulation complexity of fibred 3–manifolds	5
	5
Large-scale geometry of big mapping class groups	5
Homology of torus knots	5
Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes	5
Topological dualities in the Ising model	5
	5
Valuations on the character variety: Newton polytopes and residual Poisson bracket	5
Surface group representations in SL2(ℂ) with finite mapping class orbits	5
Cellular objects in isotropic motivic categories	5
Exotic Dehn twists on sums of two contact 3-manifolds	5
The asymmetry of Thurston’s earthquake flow	4
Chern characters for supersymmetric field theories	4
The combinatorial formula for open gravitational descendents	4
Compact moduli of elliptic K3 surfaces	4
The spheres of Sol	4
Subgroups of genus-2 quasi-Fuchsian groups and cocompact Kleinian groups	4
Topologically trivial proper 2-knots	4

Parametric inequalities and Weyl law for the volume spectrum	4
Stable cuspidal curves and the integral Chow ring of ℳ2,1	4
Orbit equivalences of ℝ–covered Anosov flows and hyperbolic-like actions on the line	4
The Manhattan curve, ergodic theory of topological flows and rigidity	4
	4
The motivic lambda algebra and motivic Hopf invariant one problem	4
Alexandrov spaces with maximal radius	4
The 2–primary Hurewicz image of tmf	4
On boundedness and moduli spaces of K-stable Calabi–Yau fibrations over curves	4
Formal groups and quantum cohomology	4
Instanton Floer homology of almost-rational plumbings	4