395 research outputs found
On free loop spaces of toric spaces
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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