OOIR: Observatory of International Research

Papers

(The TQCC of Geometry & Topology is 3. 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 2021-05-01 to 2025-05-01.)

Article	Citations
Mixed curvature almost flat manifolds	132
	35
Scalar and mean curvature comparison via the Dirac operator	24
Chromatic cyclotomic extensions	22
Classifying sections of del Pezzo fibrations, II	18
Quasipositive links and Stein surfaces	15
	11
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions	11
The local (co)homology theorems for equivariant bordism	11
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold	10
Moduli of spherical tori with one conical point	9
	9
Lower Ricci curvature and nonexistence of manifold structure	8
Legendrian weaves : N–graph calculus, flag moduli and applications	8
Braid monodromy of univariate fewnomials	8
Codimension-1 simplices in divisible convex domains	8
	8
The smooth classification of 4-dimensional complete intersections	8
Distinguishing open symplectic mapping tori via their wrapped Fukaya categories	8
Coarse-median preserving automorphisms	8
On Kodaira fibrations with invariant cohomology	7
The cohomology rings of smooth toric varieties and quotients of moment-angle complexes	7
On Borel Anosov subgroups of SL(d, ℝ)	7
Duality between Lagrangian and Legendrian invariants	7
Closed geodesics with prescribed intersection numbers	7

The homology of the Temperley–Lieb algebras	7
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal	7
	7
Monodromy of Schwarzian equations with regular singularities	7
Orbifold bordism and duality for finite orbispectra	6
Equivariant aspects of singular instanton Floer homology	6
Rigidity and geometricity for surface group actions on the circle	6
Discrete subgroups of small critical exponent	6
The cosmetic crossing conjecture for split links	6
Boundaries of relative factor graphs and subgroup classification for automorphisms of free products	6
Geodesic coordinates for the pressure metric at the Fuchsian locus	6
Categorical wall-crossing formula for Donaldson–Thomas theory on the resolved conifold	6
The signature and cusp geometry of hyperbolic knots	6
Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface	6
Localization in Khovanov homology	5
Seiberg–Witten and Gromov invariants for self-dual harmonic 2–forms	5
Zariski dense surface groups in SL(2k + 1, ℤ)	5
Producing 3D Ricci flows with nonnegative Ricci curvature via singular Ricci flows	5
Holomorphic 1–forms on the moduli space of curves	5
On the vanishing topology of isolated Cohen–Macaulay codimension 2 singularities	5
Reflection positivity and invertible topological phases	5
Hyperbolic groups acting improperly	5
Stable cuspidal curves and the integral Chow ring of ℳ2,1	4
Rational Pontryagin classes of Euclidean fiber bundles	4
The triangulation complexity of fibred 3–manifolds	4
	4
Convex cocompact actions of relatively hyperbolic groups	4
Global rigidity of some abelian-by-cyclic group actions on ????2	4
Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes	4
Surface group representations in SL2(ℂ) with finite mapping class orbits	4
	4
Cellular objects in isotropic motivic categories	4
Taut foliations, left orders, and pseudo-Anosov mapping tori	4
Automorphisms of surfaces over fields of positive characteristic	4
Cabling in terms of immersed curves	4
On automorphisms of high-dimensional solid tori	4
Large-scale geometry of big mapping class groups	4
Homology of torus knots	4
Alexandrov spaces with maximal radius	4
Helly groups	4
	4
Intersection theory on moduli of disks, open KdV and Virasoro	4
Homological mirror symmetry for log Calabi–Yau surfaces	4
Transverse invariants and exotic surfaces in the 4–ball	4
Topological dualities in the Ising model	4
	3
On the equivalence of contact invariants in sutured Floer homology theories	3
Orbit equivalences of ℝ–covered Anosov flows and hyperbolic-like actions on the line	3
Shear-shape cocycles for measured laminations and ergodic theory of the earthquake flow	3
Chern characters for supersymmetric field theories	3

Conformal blocks from vertex algebras and their connections on ℳg,n	3
Formal groups and quantum cohomology	3
Embedding surfaces in 4–manifolds	3
On self-shrinkers of medium entropy in ℝ4	3
The combinatorial formula for open gravitational descendents	3
Instanton Floer homology of almost-rational plumbings	3
Ancient solutions to the Kähler Ricci flow	3
The 2–primary Hurewicz image of tmf	3
Effective bilipschitz bounds on drilling and filling	3
The asymmetry of Thurston’s earthquake flow	3
Orbifold stability and Miyaoka–Yau inequality for minimal pairs	3
Parametric inequalities and Weyl law for the volume spectrum	3
Correction to the article Surface bundles over surfaces with arbitrarily many fiberings	3
	3
Subgroups of genus-2 quasi-Fuchsian groups and cocompact Kleinian groups	3
The Legendrian Whitney trick	3
A higher-rank rigidity theorem for convex real projective manifolds	3
Topologically trivial proper 2-knots	3
Isometry groups with radical, and aspherical Riemannian manifolds with large symmetry, I	3
On definite lattices bounded by a homology 3–sphere and Yang–Mills instanton Floer theory	3
The spheres of Sol	3
Valuations on the character variety: Newton polytopes and residual Poisson bracket	3
CAT(0) 4–manifolds are Euclidean	3
Compact moduli of elliptic K3 surfaces	3