Results 51 to 60 of about 210 (120)
Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory
Journal 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
Journal 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
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On a common refinement of Stark units and Gross–Stark units
Journal 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
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Twisted conjugacy in soluble arithmetic groups
Mathematische 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
Journal 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
Free groups with involution satisfying a *-group identity [PDF]
, 2015 Let G be a nonabelian free group with involution ∗. In the present note, we show that G satisfies a ∗-group identity if and only if ∗ is the classical involution, given by $g^∗= g^{−1}$ for all g ...
Spinelli, Ernesto +2 more
core +1 more source
Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method
Studies 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
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Auto‐Bäcklund Transformations for New Matrix First and Second Painlevé Hierarchies
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We define a new doubly extended matrix second Painlevé hierarchy, and in addition a new extended matrix first Painlevé hierarchy. For the former, we present three auto‐Bäcklund transformations (auto‐BTs) that constitute nontrivial extensions to our new hierarchy of previously derived results on the auto‐BTs of a much simpler matrix second ...
Pilar Ruiz Gordoa, Andrew Pickering
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Translation lengths of outer automorphisms of finitely generated free-by-finite groups [PDF]
, 2022 Bestvina, Feighn and Handel proved that every subgroup of the outer automorphism group, (Formula presented.) of the free group of rank n is either virtually finitely generated abelian or contains a nonabelian free group. In this note we consider the more
Sykiotis, M., Papavasileiou, I.
core
Equivariant birational types and derived categories
Mathematische Nachrichten, Volume 297, Issue 11, Page 4333-4355, November 2024.Abstract We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Christian Böhning +2 more
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