대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제38권4호
  • /
  • Pages.741-751
  • /
  • 2001
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON ACTION SPECTRUM BUNDLE

  • 발행 : 2001.01.01
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초록

In this paper when $(M, \omega)$ is a compact weakly exact symplectic manifold with nonempty boundary satisfying $c_1｜{\pi}_2(M)$ = 0, we construct an action spectrum bundle over the group of Hamil-tonian diffeomorphisms of the manifold M generated by the time-dependent Hamiltonian vector fields, whose fibre is nowhere dense and invariant under symplectic conjugation.

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참고문헌

  1. Comm. Pure Appl. Math. v.41 he unregularized gradient flow of the symplectic action A. Floer
  2. Comm. Math. Phys. v.120 Symplectic fixed points and holomorphic spheres A. Floer
  3. A Floer Memorial Volume Floer homology and Novkov rings H. Hofer;D. Salmon;H. Hofer(ed.);C. H. Taubes(ed.);A. Weinstein(ed.);E. Zehnder(ed.)
  4. Comm. Pure Appl. Math. v.XLV Morse theory for periodic solutions of Hamiltonian systems and Maslov index D. Salamon;E. Zehnder