The suspended free loop space of a symmetric space
Algebraic Topology
2018-10-02 v2 Differential Geometry
Abstract
Let M be one of the projective spaces CP^n, HP^n for n>1 or the Cayley projective plane OP^2, and let LM denote the free loop space on M. Using Morse theory methods, we prove that the suspension spectrum of (LM)_+ is homotopy equivalent to the suspension spectrum of M_+ wedge a family of Thom spaces of explicit vector bundles over the tangent sphere bundle of M.
Cite
@article{arxiv.math/0511086,
title = {The suspended free loop space of a symmetric space},
author = {Marcel Bokstedt and Iver Ottosen},
journal= {arXiv preprint arXiv:math/0511086},
year = {2018}
}
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45 pages