Zobrazeno 1 - 10
of 1 114
pro vyhledávání: '"57M05"'
Autor:
Castrillón, Luca Tanganelli
We exhibit a family of metrizable manifolds such that any finite group appears as the fundamental group of one of them. These spaces are especially interesting as they can be easily visualized, as opposed to classical examples of spaces with arbitrar
Externí odkaz:
http://arxiv.org/abs/2411.06132
Autor:
Xu, Xiaoyu
We prove that any compact, orientable 3-manifold with empty or incompressible toral boundary is profinitely almost rigid among all compact, orientable, boundary-incompressible 3-manifolds, i.e. the profinite completion of its fundamental group determ
Externí odkaz:
http://arxiv.org/abs/2410.16002
Autor:
Gadish, Nir
We determine the 0-th Hochschild homology of the associative algebra of simplicial cochains valued in a PID: it consists of the ``finite-type" homotopy invariants of free loops, equivalently finite-type class functions on the fundamental group. One m
Externí odkaz:
http://arxiv.org/abs/2410.14188
Autor:
Fukuda, Mizuki, Ishikawa, Masaharu
A $k$-twist spun knot is an $n+1$-dimensional knot in the $n+3$-dimensional sphere which is obtained from an $n$-dimensional knot in the $n+2$-dimensional sphere by applying an operation called a $k$-twist-spinning. This construction was introduced b
Externí odkaz:
http://arxiv.org/abs/2409.00650
Autor:
Williams, Gerald
We consider two families of cyclic presentations and show that, subject to certain conditions on the defining parameters, they are spines of closed 3-manifolds. For the first family, the Whitehead graphs have not previously been observed in this cont
Externí odkaz:
http://arxiv.org/abs/2408.17125
Autor:
Akita, Toshiyuki, Takase, Sota
Kuz'min (1996) characterized groups having Wirtinger presentations in relation to their second group homology. In this paper, we further refine the relation between these groups and their second group homology.
Comment: To appear in Kobe Journal
Comment: To appear in Kobe Journal
Externí odkaz:
http://arxiv.org/abs/2408.04265
In the study of ribbon knots, Lamm introduced symmetric unions inspired by earlier work of Kinoshita and Terasaka. We show an identity between the twisted Alexander polynomials of a symmetric union and its partial knot. As a corollary, we obtain an i
Externí odkaz:
http://arxiv.org/abs/2407.09881
We give a new criterion which guarantees that a free group admits a bi-ordering that is invariant under a given automorphism. As an application, we show that the fundamental group of the "magic manifold" is bi-orderable, answering a question of Kin a
Externí odkaz:
http://arxiv.org/abs/2406.18876
Trisections of closed 4-manifolds, first defined and studied by Gay and Kirby, have proved to be a useful tool in the systematic analysis of 4-manifolds via handlebodies. Subsequent work of Abrams, Gay, and Kirby established a connection with the alg
Externí odkaz:
http://arxiv.org/abs/2406.14530
Autor:
Shimizu, Tatsuro
The defect $d(M,\rho)$ is an invariant of a compact oriented 3-manifold $M$ with a representation $\rho$ of the fundamental group. In this article we give a diagrammatic method for $d$ of knot exteriors by using knot diagrams.
Comment: 19 pages,
Comment: 19 pages,
Externí odkaz:
http://arxiv.org/abs/2406.08937