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pro vyhledávání: '"Mapping torus"'
Autor:
Lee, Yoonweon
We use the BFK-gluing formula for zeta-determinants to compute the zeta-determinant and analytic torsion of a metric mapping torus induced from an isometry. As applications, we compute the zeta-determinants of the Laplacians defined on a Klein bottle
Externí odkaz:
http://arxiv.org/abs/2407.06609
We prove that if $G_\phi=\langle F, t| t x t^{-1} =\phi(x), x\in F\rangle$ is the mapping torus group of an injective endomorphism $\phi: F\to F$ of a free group $F$ (of possibly infinite rank), then every two-generator subgroup $H$ of $G_\phi$ is ei
Externí odkaz:
http://arxiv.org/abs/2405.08985
Autor:
Lin, Juemin, Wu, Jianchun
The mapping torus induced by an automorphism $\phi$ of the free abelian group $\mathbb{Z}^n$ is a semi-direct product $G=\mathbb{Z}^n\rtimes_\phi \mathbb{Z}$. We show that whether the rank of $G$ is equal to $n+1$ is decidable. As a corollary, the ra
Externí odkaz:
http://arxiv.org/abs/2306.07602
Autor:
Nosaka, Takefumi
We determine the center of a meta-nilpotent quotient of a mapping-torus group. As a corollary, we introduce two invariants, which are quadratic forms, of knots and of mapping classes.
Comment: 14 pages, comments welcome
Comment: 14 pages, comments welcome
Externí odkaz:
http://arxiv.org/abs/1912.05265
Autor:
Mutanguha, Jean Pierre
Publikováno v:
Comment. Math. Helv. 96 (2021) 47--63
We prove that the property of a free group endomorphism being irreducible is a group invariant of the ascending HNN extension it defines. This answers a question posed by Dowdall-Kapovich-Leininger. We further prove that being irreducible and atoroid
Externí odkaz:
http://arxiv.org/abs/1910.04285
Autor:
Kartal, Yusuf Barış
This paper describes constructions in homological algebra that are part of a strategy whose goal is to understand and classify symplectic mapping tori. More precisely, given a dg category and an auto-equivalence, satisfying certain assumptions, we in
Externí odkaz:
http://arxiv.org/abs/1809.04046
Autor:
Weilandt, Frank
The Conley index for flows is a topological invariant describing the behavior around an isolated invariant set $S$. It is defined as the homotopy type of a quotient space $N/L$, where $(N,L)$ is an index pair for $S$. In the case of a discrete dynami
Externí odkaz:
http://arxiv.org/abs/1801.06403
Autor:
SUN, HONGBIN
Publikováno v:
Proceedings of the American Mathematical Society, 2017 Oct 01. 145(10), 4551-4560.
Externí odkaz:
https://www.jstor.org/stable/90013122
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