Loop Products and Closed Geodesics

Details Loop Products and Closed Geodesics Loop Products and Closed Geodesics

2007-07-24

arxiv.org/abs/0707.3486v1

Mathematics

Algebraic Topology

63 pages

Scientific paper

We show the Chas-Sullivan product (on the homology of the free loop space of
a Riemannian manifold) is related to the Morse index of its closed geodesics.
We construct related products in the cohomology of the free loop space and of
the based loop space, and show they are nontrivial.

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