Higher (equivariant) topological complexity of Milnor manifolds

Autor:	Daundkar, Navnath, Singh, Bittu
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Topology 55M30 55S40 55P15 57N65
Druh dokumentu:	Working Paper
Popis:	Milnor manifolds are the total spaces of projectivizations of certain vector bundles over projective spaces. In this paper, we compute the sharp bounds on the higher topological complexity of these manifolds, and in many cases, we compute its exact value. We also compute sharp bounds on the higher equivariant topological complexity of Milnor manifolds, when they admit free $\mathbb{Z}_2$ and circle-actions. Comment: The proof of Proposition 2.8 has been corrected. Consequently, we only get nth TC of Klein bottle to be maximal for n strictly greater than 2. We have changed the abstract accordingly
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.14138 Zobrazit plný text záznamu View this record from Arxiv