Homotopy commutativity in symmetric spaces
Algebraic Topology
2023-09-25 v1
Abstract
We extend the former results of Ganea and the two of the authors with Takeda on the homotopy commutativity of the loop spaces of Hermitian symmetric spaces such that the loop spaces of all irreducible symmetric spaces but are not homotopy commutative.
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Cite
@article{arxiv.2309.12661,
title = {Homotopy commutativity in symmetric spaces},
author = {Daisuke Kishimoto and Yuki Minowa and Toshiyuki Miyauchi and Yichen Tong},
journal= {arXiv preprint arXiv:2309.12661},
year = {2023}
}
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11pages