대한수학회지 (Journal of the Korean Mathematical Society)

  • 제48권4호
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  • Pages.749-774
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  • 2011
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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MORSE HOMOLOGY ON NONCOMPACT MANIFOLDS

  • Cieliebak, Kai (Ludwig-Maximilians-Universitat) ;
  • Frauenfelder, Urs (Department of Mathematics and Research Institute of Mathematics Seoul National University)
  • 투고 : 2009.12.11
  • 발행 : 2011.07.01
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초록

Given a Morse function on a manifold whose moduli spaces of gradient flow lines for each action window are compact up to breaking one gets a bidirect system of chain complexes. There are different possibilities to take limits of such a bidirect system. We discuss in this note the relation between these different limits.

키워드

참고문헌

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피인용 문헌

  1. Continuation homomorphism in Rabinowitz Floer homology for symplectic deformations vol.151, pp.03, 2011, https://doi.org/10.1017/S0305004111000569
  2. Rabinowitz–Floer homology for superquadratic Dirac equations on compact spin manifolds vol.13, pp.1, 2013, https://doi.org/10.1007/s11784-013-0116-5
  3. Cuplength estimates in Morse cohomology vol.08, pp.02, 2016, https://doi.org/10.1142/S1793525316500102
  4. Symplectic Tate homology vol.112, pp.1, 2016, https://doi.org/10.1112/plms/pdv065
  5. Vanishing of Rabinowitz Floer homology on negative line bundles vol.285, pp.1-2, 2017, https://doi.org/10.1007/s00209-016-1718-6
  6. Homological approach to problems with jumping non-linearity vol.144, 2016, https://doi.org/10.1016/j.na.2016.07.003
  7. Bubbling phenomena in calculus of variations vol.6, pp.3, 2017, https://doi.org/10.1007/s40065-016-0157-x
  8. Rabinowitz Floer homology and mirror symmetry vol.11, pp.1, 2018, https://doi.org/10.1112/topo.12050
  9. Symplectic homology and the Eilenberg–Steenrod axioms vol.18, pp.4, 2018, https://doi.org/10.2140/agt.2018.18.1953