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arXiv · 1211.2180

The backward λ-Lemma and Morse filtrations

Joa Weber
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Abstract

Consider the infinite dimensional hyperbolic dynamical system provided by the (forward) heat semi-flow on the loop space of a closed Riemannian manifold M. We use the recently discovered backward λ-Lemma and elements of Conley theory to construct a Morse filtration of the loop space whose cellular filtration complex represents the Morse complex associated to the downward L2-gradient of the classical action functional. This paper is a survey. Details and proofs will be given in [6].

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Joa Weber. 2013-03-16. The backward λ-Lemma and Morse filtrations. https://doi.org/10.1007/978-3-319-04214-5_27

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