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The cup-product on the Thom-Smale-Witten complex, and Floer cohomology

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The Floer Memorial Volume

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

Abstract

Let M be a finite dimensional smooth manifold, f a C2 Morse function on M satisfying the Palais-Smale condition

(PS) Any sequence (x n ) n ≥1 such that df(x n ) → 0 and f(x n ) is bounded has a converging subsequence.

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Author information

Authors and Affiliations

  1. Département de mathématique, Université de Paris-Sud, Bâtiment 425, F-91405, Orsay Cedex, France

    C. Viterbo

  2. Ecole Normale Supérieure, 45 rue d’Ulm, F-75230, Paris Cedex 05, France

    C. Viterbo

Authors
  1. C. Viterbo
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, ETH-Zentrum, 8092, Zürich, Switzerland

    Helmut Hofer  & Eduard Zehnder  & 

  2. Dept. of Mathematics, Harvard University, 02138, Cambridge, MA, USA

    Clifford H. Taubes

  3. Dept. of Mathematics, University of California, 94720, Berkeley, CA, USA

    Alan Weinstein

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© 1995 Birkhäuser Verlag

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Viterbo, C. (1995). The cup-product on the Thom-Smale-Witten complex, and Floer cohomology. 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_26

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  • DOI: https://doi.org/10.1007/978-3-0348-9217-9_26

  • 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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