Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 1997; 34(4): 1065-1087
Printed December 1, 1997
Copyright © The Korean Mathematical Society.
Floer homology as the stable Morse homology
Darko Milinkovic and Yong-Geun Oh
University of Wisconsin--Madison and University of Wisconsin--Madison
We prove that there exists a canonical level-preserving isomorphism between the stable Morse homology (or the Morse homology of generating functions) and the Floer homology on the cotangent bundle $T^*M$ for any closed submanifold $N\subset M$ for any compact manifold $M$.
Keywords: Lagrangian submanifolds, conormal bundle, cotangent bundle, generating funtions, Morse homology, action functional, Floer homology
MSC numbers: 58F05
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
Continuous Hamiltonian dynamics and area-preserving homeomorphism group of $D^2$
2016; 53(4): 795-834
-
Normalization of the Hamiltonian and the action spectrum
2005; 42(1): 65-83
-
Floer mini-max theory, the Cerf diagram, and the spectral invariants
2009; 46(2): 363-447
-
Erratum to "Floer mini-max theory, the Cerf diagram, and the spectral invariants, J. Korean Math. Soc. 46 (2009), no. 2, 363--447''
2010; 47(6): 1329-1330
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd