The Viterbo Transfer as a Map of Spectra

Details The Viterbo Transfer as a Map of Spectra The Viterbo Transfer as a Map of Spectra

2007-12-17

arxiv.org/abs/0712.2533v2

Mathematics

Algebraic Topology

70 pages, 9 figures. Written in PDFLatex. The second version is an extensive rewrite of the first

Scientific paper

Let L and N be two smooth manifolds of the same dimension. Let j : L -> T*N be an exact Lagrange embedding. We denote the free loop space of X by LX. C. Viterbo constructed a transfer map (Lj)! : H*(LL) -> H*(LN). This transfer is constructed using finite dimensional approximation of Floer homology. In this paper we define a continuous family of finite dimensional approximations that makes it possible to realize this transfer as a map of Thom spectra.

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