Results 41 to 50 of about 8,502,672 (103)

Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory

open access: yesJournal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
wiley   +1 more source

Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley   +1 more source

On a common refinement of Stark units and Gross–Stark units

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
wiley   +1 more source

Twisted conjugacy in soluble arithmetic groups

open access: yesMathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.
Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo   +1 more
wiley   +1 more source

On vertex‐transitive graphs with a unique hamiltonian cycle

open access: yesJournal of Graph Theory, Volume 108, Issue 1, Page 65-99, January 2025.
Abstract A graph is said to be uniquely hamiltonian if it has a unique hamiltonian cycle. For a natural extension of this concept to infinite graphs, we find all uniquely hamiltonian vertex‐transitive graphs with finitely many ends, and also discuss some examples with infinitely many ends.
Babak Miraftab, Dave Witte Morris
wiley   +1 more source

The SQ universality of some small cancellation groups [PDF]

open access: yes, 1977
PhDA group G is a small cancellation group if, roughly, it has a presentation G=
Al-Janabi, Mohammed Abdul-Razzak
core   +4 more sources

Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method

open access: yesStudies in Applied Mathematics, Volume 154, Issue 1, January 2025.
Abstract A new method is developed for finding exact solitary wave solutions of a generalized Korteweg–de Vries equation with p$p$‐power nonlinearity coupled to a linear Schrödinger equation arising in many different physical applications. This method yields 22 solution families, with p=1,2,3,4$p=1,2,3,4$.
Stephen C. Anco   +3 more
wiley   +1 more source

Freedom from within : seeking generating sets for free groups [PDF]

open access: yes, 2014
Since the 1870's, mathematicians have had only one real tool to help identify when a group contains free subgroups: the Klein Criterion. While powerful and elegant, there are cases when this theorem does not prove helpful.
NC DOCKS at Western Carolina University   +1 more
core  

Free Unit Groups in Group Algebras [PDF]

open access: yes, 2001
Let K[G] denote the group algebra of a finite group G over a field K. If either char K=0 and G is nonabelian, or K is a nonabsolute field of characteristic π>0 and G/Oπ(G) is nonabelian, then it is well known that the group of units U(K[G]) contains a ...
Passman, D.S, Gonçalves, J.Z
core   +1 more source

Automorphic Bloch theorems for hyperbolic lattices. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Maciejko J, Rayan S.
europepmc   +1 more source

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