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 2022-08-01 to 2026-08-01.)

Article	Citations
	50
	30
Chromatic cyclotomic extensions	23
Random unitary representations of surface groups, II : The large n limit	19
	18
Scalar and mean curvature comparison via the Dirac operator	18
On pro-cdh descent on derived schemes	17
The local (co)homology theorems for equivariant bordism	17
Classifying sections of del Pezzo fibrations, II	16
Graded character sheaves, HOMFLY-PT homology, and Hilbert schemes of points on ℂ2	15
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions	15
Quantisation of derived Poisson structures	15
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold	15
Torus diffeomorphisms with parabolic and nonproper actions on the fine curve graph and their generalized rotation sets	15
	14
Lower Ricci curvature and nonexistence of manifold structure	14
Coarse-median preserving automorphisms	13
The chromatic colocalization of the spherical units is of height 1	13
Moduli of spherical tori with one conical point	13
Fukaya categories of hyperplane arrangements	13
Legendrian weaves : N–graph calculus, flag moduli and applications	13
The smooth classification of 4-dimensional complete intersections	13
Limits of asymptotically Fuchsian surfaces in a closed hyperbolic 3-manifold	13
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal	12
Monodromy of Schwarzian equations with regular singularities	11

Closed geodesics with prescribed intersection numbers	11
On Borel Anosov subgroups of SL(d, ℝ)	11
Duality between Lagrangian and Legendrian invariants	11
The homology of the Temperley–Lieb algebras	11
The cosmetic crossing conjecture for split links	10
Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface	10
Discrete subgroups of small critical exponent	10
Rigidity and geometricity for surface group actions on the circle	10
Equivariant aspects of singular instanton Floer homology	9
Categorical wall-crossing formula for Donaldson–Thomas theory on the resolved conifold	9
Localization in Khovanov homology	9
Orbifold bordism and duality for finite orbispectra	9
Tunnel number one knots satisfy the Berge conjecture	9
Zippers	9
Geodesic coordinates for the pressure metric at the Fuchsian locus	9
Zariski dense surface groups in SL(2k + 1, ℤ)	8
Homological mirror symmetry for log Calabi–Yau surfaces	8
Convex cocompact actions of relatively hyperbolic groups	8
Cabling in terms of immersed curves	8
The signature and cusp geometry of hyperbolic knots	8
Seiberg–Witten and Gromov invariants for self-dual harmonic 2–forms	8
Holomorphic 1–forms on the moduli space of curves	8
On automorphisms of high-dimensional solid tori	8
Hyperbolic groups acting improperly	8
Degenerating conic Kähler–Einstein metrics to the normal cone	8
Automorphisms of surfaces over fields of positive characteristic	8
Intersection theory on moduli of disks, open KdV and Virasoro	8
Exotic Dehn twists on sums of two contact 3-manifolds	7
Large-scale geometry of big mapping class groups	7
Taut foliations, left orders, and pseudo-Anosov mapping tori	7
Helly groups	7
	7
Homological mirror symmetry for hypertoric varieties, II	7
Algebraic models for classifying spaces of fibrations	7
	6
	6
Stable cuspidal curves and the integral Chow ring of ℳ2,1	6
Parametric inequalities and Weyl law for the volume spectrum	6
Topological dualities in the Ising model	6
	6
On definite lattices bounded by a homology 3–sphere and Yang–Mills instanton Floer theory	6
The motivic lambda algebra and motivic Hopf invariant one problem	6
The triangulation complexity of fibred 3–manifolds	6
Valuations on the character variety: Newton polytopes and residual Poisson bracket	6
Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes	6
Alexandrov spaces with maximal radius	5
Symplectomorphisms of some Weinstein 4-manifolds	5
Topologically trivial proper 2-knots	5
The asymmetry of Thurston’s earthquake flow	5
The 2–primary Hurewicz image of tmf	5

Cellular objects in isotropic motivic categories	5
On self-shrinkers of medium entropy in ℝ4	5
Chern characters for supersymmetric field theories	5
Orbit equivalences of ℝ–covered Anosov flows and hyperbolic-like actions on the line	5
	5
Chromatic defect, Wood’s theorem and higher real K-theories	5
Satellite knots and immersed Heegaard Floer homology	5
Stability for the 3D Riemannian Penrose inequality	5
The combinatorial formula for open gravitational descendents	5
Formal groups and quantum cohomology	5
	4
Subgroups of genus-2 quasi-Fuchsian groups and cocompact Kleinian groups	4
Degree two Gopakumar–Vafa invariants of local curves	4
Orbifold stability and Miyaoka–Yau inequality for minimal pairs	4
	4
On boundedness and moduli spaces of K-stable Calabi–Yau fibrations over curves	4
	4
Instanton Floer homology of almost-rational plumbings	4
The Manhattan curve, ergodic theory of topological flows and rigidity	4
Compact moduli of elliptic K3 surfaces	4
Quantum K-invariants and Gopakumar–Vafa invarints, II : Calabi–Yau threefolds at genus zero	4
Cubulated hyperbolic groups admit Anosov representations	4
CAT(0) 4–manifolds are Euclidean	4
Deformations and desingularizations of conically singular associative submanifolds	4
Unit inclusion in a (nonsemisimple) braided tensor category and (noncompact) relative TQFTs	4
Embedding surfaces in 4–manifolds	4
The spheres of Sol	4
A Weiss–Williams theorem for spaces of embeddings and the homotopy type of spaces of long knots	4
Effective bilipschitz bounds on drilling and filling	4