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Floer’s infinite dimensional Morse theory and homotopy theory

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The Floer Memorial Volume

Part of the book series: Progress in Mathematics ((PM,volume 133))

Abstract

This paper is a progress report on our efforts to understand the homotopy theory underlying Floer homology. Its objectives are as follows:

  1. (A)

    to describe some of our ideas concerning what exactly the Floer homology groups compute;

  2. (B)

    to explain what kind of an object we think the «Floer homotopy type» of an infinite dimensional manifold should be;

  3. (C)

    to work out, in detail, the Floer homotopy type in some examples.

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© 1995 Birkhäuser Verlag

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Cohen, R.L., Jones, J.D.S., Segal, G.B. (1995). Floer’s infinite dimensional Morse theory and homotopy theory. In: Hofer, H., Taubes, C.H., Weinstein, A., Zehnder, E. (eds) The Floer Memorial Volume. Progress in Mathematics, vol 133. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9217-9_13

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  • DOI: https://doi.org/10.1007/978-3-0348-9217-9_13

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9948-2

  • Online ISBN: 978-3-0348-9217-9

  • eBook Packages: Springer Book Archive

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