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LECTURES ON FLOER THEORY AND SPECTRAL INVARIANTS OF HAMILTONIAN FLOWS

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Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 217))

Abstract

The main purpose of this lecture is to provide a coherent explanation of the chain level Floer theory and its applications to the study of geometry of the Hamiltonian diffeomorphism group of closed symplectic manifolds. In particular, we explain the author's recent construction of spectral invariants of Hamiltonian paths and an invariant norm of the Hamiltonian di.eomorphism group on nonexact symplectic manifolds.

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Author information

Authors and Affiliations

  1. University of Wisconsin, Madison, United State

    YONG-GEUN OH

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  1. YONG-GEUN OH
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Editor information

Editors and Affiliations

  1. Tel-Aviv University, Israel

    Paul Biran

  2. University of Montreal, QC, Canada

    Octav Cornea

  3. University of Montreal, QC, Canada

    François Lalonde

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OH, YG. (2006). LECTURES ON FLOER THEORY AND SPECTRAL INVARIANTS OF HAMILTONIAN FLOWS. In: Biran, P., Cornea, O., Lalonde, F. (eds) Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology. NATO Science Series II: Mathematics, Physics and Chemistry, vol 217. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4266-3_08

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