Abstract
We prove that in the case of a nondegenerate Hamiltonian that does not depend on time and is sufficiently small, when we are able to define the Morse complex and the Floer complex, the two coincide.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Recall that if V is compact, then all trajectories are of finite energy.
References
Salamon, D.: Morse theory, the Conley index and Floer homology. Bull. Lond. Math. Soc. 32, 113–140 (1990)
Schwarz, M.: Morse Homology. Birkhäuser, Basel (1993)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag London
About this chapter
Cite this chapter
Audin, M., Damian, M. (2014). From Floer to Morse. In: Morse Theory and Floer Homology. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-5496-9_10
Download citation
DOI: https://doi.org/10.1007/978-1-4471-5496-9_10
Publisher Name: Springer, London
Print ISBN: 978-1-4471-5495-2
Online ISBN: 978-1-4471-5496-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)