Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Stegemeyer, Maximilian"'
The Lusternik-Schnirelmann category of a space was introduced to obtain a lower bound on the number of critical points of a $C^1$-function on a given manifold. Related to Lusternik-Schnirelmann category and motivated by topological robotics, the topo
Externí odkaz:
http://arxiv.org/abs/2411.01980
The string topology coproduct is often perceived as a counterpart in string topology to the Chas-Sullivan product. However, in certain aspects the string topology coproduct is much harder to understand than the Chas-Sullivan product. In particular th
Externí odkaz:
http://arxiv.org/abs/2404.03460
Autor:
Stegemeyer, Maximilian
In this article we consider algebraic structures on the homology of the space of paths in a manifold with endpoints in a submanifold. The Pontryagin-Chas-Sullivan product on the homology of this space had already been investigated by Hingston and Oan
Externí odkaz:
http://arxiv.org/abs/2311.16891
Autor:
Stegemeyer, Maximilian
Während das lokale Verhalten von geodätischen Kurven in Riemannschen Mannigfaltigkeiten gut verstanden ist, ist es wesentlich schwieriger das globale Verhalten dieser Kurven zu untersuchen. Die vorliegende Dissertation greift daher zwei Themen hera
Externí odkaz:
https://ul.qucosa.de/id/qucosa%3A82992
https://ul.qucosa.de/api/qucosa%3A82992/attachment/ATT-0/
https://ul.qucosa.de/api/qucosa%3A82992/attachment/ATT-0/
The homology of the free and the based loop space of a compact globally symmetric space can be studied through explicit cycles. We use cycles constructed by Bott and Samelson and by Ziller to study the string topology coproduct and the Chas-Sullivan
Externí odkaz:
http://arxiv.org/abs/2212.09350
The geodesic complexity of a Riemannian manifold is a numerical isometry invariant that is determined by the structure of its cut loci. In this article we study decompositions of cut loci over whose components the tangent cut loci fiber in a convenie
Externí odkaz:
http://arxiv.org/abs/2206.07691
Autor:
Stegemeyer, Maximilian
On the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these explicit cycles to compute the string topology coproduct on complex and quaternionic projective space. T
Externí odkaz:
http://arxiv.org/abs/2204.13447
Autor:
Stegemeyer, Maximilian
The free loop space of a Lie group is homeomorphic to the product of the Lie group itself and its based loop space. We show that the coproduct on the homology of the free loop space that was introduced by Goresky and Hingston splits into the diagonal
Externí odkaz:
http://arxiv.org/abs/2109.10190
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 2221-2270
We study the geodesic motion planning problem for complete Riemannian manifolds and investigate their geodesic complexity, an integer-valued isometry invariant introduced by D. Recio-Mitter. Using methods from Riemannian geometry, we establish new lo
Externí odkaz:
http://arxiv.org/abs/2105.09215
Autor:
Stegemeyer, Maximilian
Publikováno v:
Manuscripta Mathematica; Jul2024, Vol. 174 Issue 3/4, p897-936, 40p
