The string topology coproduct on complex and quaternionic projective space
Algebraic Topology
2023-12-11 v3
Abstract
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. The behavior of the Goresky-Hingston product for these spaces then follows directly.
Keywords
Cite
@article{arxiv.2204.13447,
title = {The string topology coproduct on complex and quaternionic projective space},
author = {Maximilian Stegemeyer},
journal= {arXiv preprint arXiv:2204.13447},
year = {2023}
}
Comments
31 pages, to appear in Manuscripta Mathematica