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Morse homology for generating functions of Lagrangian submanifolds
Author(s):
Darko
Milinkovic
Journal:
Trans. Amer. Math. Soc.
351
(1999),
3953-3974.
MSC (1991):
Primary 58E05;
Secondary 57R57, 58F05
Posted:
March 8, 1999
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Abstract:
The purpose of the paper is to give an alternative construction and the proof of the main properties of symplectic invariants developed by Viterbo. Our approach is based on Morse homology theory. This is a step towards relating the ``finite dimensional'' symplectic invariants constructed via generating functions to the ``infinite dimensional'' ones constructed via Floer theory in Y.-G. Oh, Symplectic topology as the geometry of action functional. I, J. Diff. Geom. 46 (1997), 499-577.
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Additional Information:
Darko
Milinkovic
Affiliation:
Department of Mathematics, University of Wisconsin--Madison, 480 Lincoln Drive, Madison, Wisconsin 53706
Address at time of publication:
Department of Mathematics, University of California, Irvine, California 92697-3875
Email:
dmilinko@math.uci.edu
DOI:
10.1090/S0002-9947-99-02217-5
PII:
S 0002-9947(99)02217-5
Received by editor(s):
August 18, 1997
Posted:
March 8, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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