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 2022-05-01 to 2026-05-01.)

Article	Citations
	47
	30
Chromatic cyclotomic extensions	20
Scalar and mean curvature comparison via the Dirac operator	17
Random unitary representations of surface groups, II : The large n limit	16
Graded character sheaves, HOMFLY-PT homology, and Hilbert schemes of points on ℂ2	16
	16
The local (co)homology theorems for equivariant bordism	15
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions	15
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold	15
Classifying sections of del Pezzo fibrations, II	14
Quantisation of derived Poisson structures	14
On pro-cdh descent on derived schemes	14
Moduli of spherical tori with one conical point	13
Fukaya categories of hyperplane arrangements	13
The smooth classification of 4-dimensional complete intersections	13
	13
Lower Ricci curvature and nonexistence of manifold structure	12
The homology of the Temperley–Lieb algebras	12
Coarse-median preserving automorphisms	12
Legendrian weaves : N–graph calculus, flag moduli and applications	12
The chromatic colocalization of the spherical units is of height 1	11
Monodromy of Schwarzian equations with regular singularities	11
Closed geodesics with prescribed intersection numbers	11
Geodesic coordinates for the pressure metric at the Fuchsian locus	10

Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal	10
Duality between Lagrangian and Legendrian invariants	10
Limits of asymptotically Fuchsian surfaces in a closed hyperbolic 3-manifold	10
On Borel Anosov subgroups of SL(d, ℝ)	10
Localization in Khovanov homology	9
The signature and cusp geometry of hyperbolic knots	9
Rigidity and geometricity for surface group actions on the circle	9
The cosmetic crossing conjecture for split links	9
Tunnel number one knots satisfy the Berge conjecture	9
Discrete subgroups of small critical exponent	9
Categorical wall-crossing formula for Donaldson–Thomas theory on the resolved conifold	9
Holomorphic 1–forms on the moduli space of curves	8
Orbifold bordism and duality for finite orbispectra	8
Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface	8
Hyperbolic groups acting improperly	8
Equivariant aspects of singular instanton Floer homology	8
On automorphisms of high-dimensional solid tori	7
Zariski dense surface groups in SL(2k + 1, ℤ)	7
Intersection theory on moduli of disks, open KdV and Virasoro	7
Automorphisms of surfaces over fields of positive characteristic	7
Cabling in terms of immersed curves	7
Seiberg–Witten and Gromov invariants for self-dual harmonic 2–forms	7
Convex cocompact actions of relatively hyperbolic groups	7
Homological mirror symmetry for log Calabi–Yau surfaces	7
Degenerating conic Kähler–Einstein metrics to the normal cone	7
Taut foliations, left orders, and pseudo-Anosov mapping tori	6
Homological mirror symmetry for hypertoric varieties, II	6
Algebraic models for classifying spaces of fibrations	6
The triangulation complexity of fibred 3–manifolds	6
Helly groups	6
	6
Exotic Dehn twists on sums of two contact 3-manifolds	6
Large-scale geometry of big mapping class groups	6
	5
Topological dualities in the Ising model	5
Surface group representations in SL2(ℂ) with finite mapping class orbits	5
Chern characters for supersymmetric field theories	5
The asymmetry of Thurston’s earthquake flow	5
Orbit equivalences of ℝ–covered Anosov flows and hyperbolic-like actions on the line	5
Alexandrov spaces with maximal radius	5
On definite lattices bounded by a homology 3–sphere and Yang–Mills instanton Floer theory	5
	5
	5
Cellular objects in isotropic motivic categories	5
Topologically trivial proper 2-knots	5
The combinatorial formula for open gravitational descendents	5
Stable cuspidal curves and the integral Chow ring of ℳ2,1	5
Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes	5
On self-shrinkers of medium entropy in ℝ4	5
The motivic lambda algebra and motivic Hopf invariant one problem	5

Parametric inequalities and Weyl law for the volume spectrum	5
Symplectomorphisms of some Weinstein 4-manifolds	5
Formal groups and quantum cohomology	5
Stability for the 3D Riemannian Penrose inequality	5
Valuations on the character variety: Newton polytopes and residual Poisson bracket	5
	4
Instanton Floer homology of almost-rational plumbings	4
The 2–primary Hurewicz image of tmf	4
	4
Degree two Gopakumar–Vafa invariants of local curves	4
Subgroups of genus-2 quasi-Fuchsian groups and cocompact Kleinian groups	4
The Manhattan curve, ergodic theory of topological flows and rigidity	4
	4
Cubulated hyperbolic groups admit Anosov representations	4
A Weiss–Williams theorem for spaces of embeddings and the homotopy type of spaces of long knots	4
Embedding surfaces in 4–manifolds	4
Compact moduli of elliptic K3 surfaces	4
On boundedness and moduli spaces of K-stable Calabi–Yau fibrations over curves	4
Quantum K-invariants and Gopakumar–Vafa invarints, II : Calabi–Yau threefolds at genus zero	4
CAT(0) 4–manifolds are Euclidean	4
Unit inclusion in a (nonsemisimple) braided tensor category and (noncompact) relative TQFTs	4