Pure Math · Mathematics & Statistics
Geometric Topology
The newest papers in Geometric Topology that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
55 papers, from 31 August 2026 to 5 November 2026: 50 OpenAlex records and 5 arXiv preprints.
Get the few papers worth your time in Geometric Topology every morning.
Follow Geometric Topology and ReadSearch reads its new papers each day, then brings you the few worth reading, each with its key finding in a sentence.
Newest papers, page 3
Two Extremal Even Unimodular Lattices of Rank $88$
In this paper, we construct two extremal positive definite even unimodular lattices of rank $88$ using a Hermitian tensor product over $\mathbb{Q}(\sqrt{-23})$, thereby extending the known existence…Improved Bounds for the Bilu-Linial Conjecture via Spectral Recovery from Mixed Determinantal Polynomials
Bilu and Linial conjectured that every finite $d$-regular graph with $d \geq 2$ admits an edge signing $σ$ whose signed adjacency matrix $A_σ$ has spectral radius at most $2\sqrt{d-1}$.Relative commuting probability and BFC-type results for finite skew braces
We develop a probabilistic approach to the structure of finite skew left braces, motivated both by classical commuting probability in finite group theory and by the role of skew left braces in the…Kusner's conjecture is false for $p>4$
An equilateral set is a set of points in a metric space whose pairwise distances are all equal.Exact solutions of hidden free fermion models
Hidden-free-fermion (HFF) Hamiltonians exhibit free-fermion spectra despite lacking an explicit quadratic representation, yet their algebraic provenance and periodic-boundary behavior remain open…An endpoint exception to a conjectured equality characterization for Laplacian eigenvalue products
We give eight-vertex counterexamples to the equality characterization in Conjecture 20 of Chen, Guo, Li and Wang, Electron.Riesz capacity ratios with negative exponents
We investigate sharp inequalities for ratios of Riesz capacities with negative exponents by combining computational experiments with rigorous analysis.Radial Projectively Induced Canonical Kähler Metrics: Rigidity and Classification
We study radial Kähler metrics on domains of $\mathbb{C}^n$, $n\geq 2$, admitting a Kähler immersion into a finite- or infinite-dimensional complex projective space.A construction of F-irregular graphs
For a fixed graph F, the F-degree of a vertex v in a host graph H is the number of subgraphs of H isomorphic to F that contain v, and H is F-irregular if its F-degrees are pairwise distinct.The Converse Problem for the Morley Tetrahedron: Counterexamples, Conjectures, and Partial Results
In a paper in Acta Mathematica Hungarica the author proved that the Morley tetrahedron of an isosceles tetrahedron, obtained by trisecting the six dihedral angles, is again isosceles, and proposed…Catalan's constant is irrational
Whether the constant $$G=\sum_{k=0}^\infty\frac{(-1)^k}{(2k+1)^2}=\frac1{1^2}-\frac1{3^2}+\frac1{5^2}-\frac1{7^2}+\cdots$$ introduced by Catalan in the nineteen century is irrational, is a…Odd denominators in the Lonely Runner spectrum for six speeds
For distinct positive integers v_1, ..., v_n let ML(v_1, ..., v_n) be the largest number L such that at some time t every t vi is at distance at least L from the nearest integer; the Lonely Runner…Petersson-Rigid Lattices in a Census of 100 Rank-Three Root Bases
The first paper worked out one family of four lattices in full — |det| = 12, 24, 36and 72.Some explorations of Kirchhoff dynamics
The classical problem of a rigid body in an ideal fluid is a six-dimensional dynamical system with three conserved quantities.Localization of the Caro-Wei bound and its applications to bipartiteness
We confirm a conjecture of Brause, Randerath, Rautenbach and Schiermeyer (2016) by proving a localized lower bound on the independence number of a graph that strengthens the classical bounds of…