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.
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Newest papers, page 2
Character expansions and affine Jacobi-Trudi identities
We provide character expansions of certain specialisations of multiparameter Hall--Littlewood polynomials of types $\mathrm{B}_n$, $\mathrm{C}_n$, and $\mathrm{BC}_n$ for rectangular shapes.Non-dyadic Laver algebras
We study finite Laver algebras, the generalizations of Laver tables on sets of cardinality not of the form $2^n$.Sharp Riesz capacity inequalities and the Pólya--Szegő conjecture
For $n\geq2$ and $p\in(n-2,n)$, we prove that closed balls maximize the ratio of Riesz $p$-capacity to Newtonian capacity among all compact subsets of $\mathbb{R}^n$.Resolving Erdős-Ulam Monochromatic Union-Closed Family Conjectures
We prove both Erdős-Ulam conjectures on monochromatic union-closed families.There is no $8$-regular $K_3$-irregular graph
A graph is $K_3$-irregular if its vertices belong to pairwise distinct numbers of triangles.Toward Pólya and Szegő's conjecture for logarithmic vs Newtonian capacity
Pólya and Szegő conjectured in 1945 that the disk achieves the largest electrostatic capacity among all planar sets with given logarithmic capacity.The lattice of varieties of semigroups with completely regular square. II
We solve (modulo groups) the word problem for free semigroup satisfying $xy = (xy)^n$.Uniqueness of convex central configurations in the planar four-body problem
We prove that for every choice of four positive masses and every cyclic ordering of the bodies there is exactly one strictly convex planar central configuration with that ordering, up to similarity.A Lean Formalization of the Hamilton--Perelman Proof of the Three-Dimensional Poincaré Conjecture
We formalize the smooth three-dimensional Poincaré conjecture, together with the Moise smoothing theorem, yielding the topological three-dimensional Poincaré conjecture.Planar Contact Structures with Calabi-Yau Fillings and Topological Quantum Computation
We study planar openbooks obtained by lifting braids through branched covers of D^2, together with the quantum operations in the Ising representation.Lengths of Hodge characters in Fermat varieties
We revisit the Hodge conjecture for Fermat (and weighted Fermat) varieties.Notes on a strongly aperiodic monotile in $E^3$
We provide a clearer presentation of the Chair44 monotile, a new strongly aperiodic monotile in three-dimensional Euclidean space $E^3$.Inverse Baer deformations and finite simple skew braces of nilpotent type
Finite simple skew braces with non-abelian additive group remain largely unexplored.Matching Rules for a Three-Dimensional Strongly Aperiodic Monotile
A recent pre-print [arXiv:2609.19214] proposed a three-dimensional (3D) strongly aperiodic monotile: a shape that tiles Euclidean space only non-periodically and which admits no symmetry of infinite…A cyclic non-Ramsey heptagon
We present a construction with seven points on a circle that is not Ramsey, disproving a conjecture of Erdős, Graham, Montgomery, Rothschild, Spencer and Straus.The Chern-Simons Function and the Quantum Hall Effect
In this article, I will define the Chern-Simons invariant of a gauge connection over a three-manifold and explain some of the things that are special about it, in particular its role in…Kernel--wreath constructions and infinite families of finite simple skew braces
We introduce a kernel--wreath construction for finite skew braces.A Strongly Aperiodic Monotile in Three Dimensions
Socolar and Taylor asked for a single, simply connected three-dimensional prototile that forces nonperiodicity by shape alone, admitting no weakly nonperiodic tiling; the Schmitt-Conway-Danzer…Selflessness, MIF and opposition in groups acting on exotic buildings
We prove that groups acting freely and cocompactly on (possibly exotic) affine buildings of type $\tilde{A}_2$ and $\tilde C_2$ are mixed-identity free and have selfless reduced $C^*$-algebras.Products of Boolean Clones up to Minion Homomorphisms
We study the minion homomorphism poset of multisorted Boolean clones.