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 2021-06-01 to 2025-06-01.)

Article	Citations
Mixed curvature almost flat manifolds	35
	25
Scalar and mean curvature comparison via the Dirac operator	22
Chromatic cyclotomic extensions	19
Classifying sections of del Pezzo fibrations, II	15
Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions	11
The local (co)homology theorems for equivariant bordism	11
	11
	10
Braid monodromy of univariate fewnomials	10
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold	10
Lower Ricci curvature and nonexistence of manifold structure	9
The smooth classification of 4-dimensional complete intersections	9
Codimension-1 simplices in divisible convex domains	9
Coarse-median preserving automorphisms	8
	8
	8
Closed geodesics with prescribed intersection numbers	8
The cohomology rings of smooth toric varieties and quotients of moment-angle complexes	8
Moduli of spherical tori with one conical point	8
On Borel Anosov subgroups of SL(d, ℝ)	8
Legendrian weaves : N–graph calculus, flag moduli and applications	8
The homology of the Temperley–Lieb algebras	8
On Kodaira fibrations with invariant cohomology	8
Equivariant aspects of singular instanton Floer homology	7

Discrete subgroups of small critical exponent	7
Compactifications of moduli of elliptic K3 surfaces: Stable pair and toroidal	7
The cosmetic crossing conjecture for split links	7
Geodesic coordinates for the pressure metric at the Fuchsian locus	7
Monodromy of Schwarzian equations with regular singularities	7
Categorical wall-crossing formula for Donaldson–Thomas theory on the resolved conifold	7
Duality between Lagrangian and Legendrian invariants	7
Orbifold bordism and duality for finite orbispectra	7
Holomorphic anomaly equations for the Hilbert scheme of points of a K3 surface	6
Rigidity and geometricity for surface group actions on the circle	6
Cabling in terms of immersed curves	6
Zariski dense surface groups in SL(2k + 1, ℤ)	6
The signature and cusp geometry of hyperbolic knots	6
Localization in Khovanov homology	6
Seiberg–Witten and Gromov invariants for self-dual harmonic 2–forms	6
Holomorphic 1–forms on the moduli space of curves	6
Producing 3D Ricci flows with nonnegative Ricci curvature via singular Ricci flows	6
Boundaries of relative factor graphs and subgroup classification for automorphisms of free products	6
Hyperbolic groups acting improperly	6
On the vanishing topology of isolated Cohen–Macaulay codimension 2 singularities	6
	5
On automorphisms of high-dimensional solid tori	5
	5
Homological mirror symmetry for log Calabi–Yau surfaces	5
Automorphisms of surfaces over fields of positive characteristic	5
Intersection theory on moduli of disks, open KdV and Virasoro	5
Convex cocompact actions of relatively hyperbolic groups	5
Taut foliations, left orders, and pseudo-Anosov mapping tori	5
Global rigidity of some abelian-by-cyclic group actions on ????2	4
Topological dualities in the Ising model	4
Homology of torus knots	4
	4
Parametric inequalities and Weyl law for the volume spectrum	4
Cellular objects in isotropic motivic categories	4
Alexandrov spaces with maximal radius	4
Transverse invariants and exotic surfaces in the 4–ball	4
Large-scale geometry of big mapping class groups	4
Rational Pontryagin classes of Euclidean fiber bundles	4
On self-shrinkers of medium entropy in ℝ4	4
Stable cuspidal curves and the integral Chow ring of ℳ2,1	4
Formal groups and quantum cohomology	4
The triangulation complexity of fibred 3–manifolds	4
Helly groups	4
Surface group representations in SL2(ℂ) with finite mapping class orbits	4
	4
Valuations on the character variety: Newton polytopes and residual Poisson bracket	4
Multiple cover formulas for K3 geometries, wall-crossing, and Quot schemes	4
On definite lattices bounded by a homology 3–sphere and Yang–Mills instanton Floer theory	4
Effective bilipschitz bounds on drilling and filling	3
Conformal blocks from vertex algebras and their connections on ℳg,n	3

Compact moduli of elliptic K3 surfaces	3
Chern characters for supersymmetric field theories	3
Instanton Floer homology of almost-rational plumbings	3
The combinatorial formula for open gravitational descendents	3
	3
Shear-shape cocycles for measured laminations and ergodic theory of the earthquake flow	3
Embedding surfaces in 4–manifolds	3
Subgroups of genus-2 quasi-Fuchsian groups and cocompact Kleinian groups	3
The 2–primary Hurewicz image of tmf	3
The Legendrian Whitney trick	3
Topologically trivial proper 2-knots	3
Orbifold stability and Miyaoka–Yau inequality for minimal pairs	3
Ancient solutions to the Kähler Ricci flow	3
The spheres of Sol	3
CAT(0) 4–manifolds are Euclidean	3
	3
Orbit equivalences of ℝ–covered Anosov flows and hyperbolic-like actions on the line	3
The asymmetry of Thurston’s earthquake flow	3
Correction to the article Surface bundles over surfaces with arbitrarily many fiberings	3
A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves	3
A higher-rank rigidity theorem for convex real projective manifolds	3