On the whistle cobordism operation in string topology of classifying spaces
Algebraic Topology
2019-04-04 v2
Abstract
In this manuscript, we consider cobordism operations in the -dimensional labeled open-closed topological quantum field theory for the classifying space of a connected compact Lie group in the sense of Guldberg. In particular, it is proved that the whistle cobordism operation is non-trivial in general provided the labels are in the set of maximal closed subgroups of the given Lie group. The non-triviality of cobordism operations induced by gluing the whistle with the opposite and other labeled cobordisms is also discussed.
Keywords
Cite
@article{arxiv.1903.09948,
title = {On the whistle cobordism operation in string topology of classifying spaces},
author = {Katsuhiko Kuribayashi},
journal= {arXiv preprint arXiv:1903.09948},
year = {2019}
}
Comments
12 pages. A figure of the whistle cobordism is contained