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arXiv · 1410.6458

On free loop spaces of toric spaces

A. Bahri·M. Bendersky·S. Gitler·F. R. Cohen
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Abstract

Growth of the Hilbert-Poincar\"e series for the rational homology of the free loop space of a toric space is addressed. In case the toric space is a manifold, the structure of the fan dictates whether the Hilbert-Poincar\"e series has exponential growth. Applications are made to the existence of infinitely many geometrically distinct periodic geodesics.

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A. Bahri, M. Bendersky, S. Gitler, F. R. Cohen. 2014-10-23. On free loop spaces of toric spaces. https://arxiv.org/abs/1410.6458

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