On the equivariant Morse complex of the free loop space of a surface
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- by Nancy Hingston PDF
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Abstract:
We prove two theorems about the equivariant topology of the free loop space of a surface. The first deals with the nondegenerate case and says that the “ordinary” Morse complex can be given an $O(2)$-action in such a way that it carries the $O(2)$-homotopy type of the free loop space. The second says that, in terms of topology, the iterates of an isolated degenerate closed geodesic “look like” the continuous limit of the iterates of a finite, fixed number of nondegenerate closed geodesics.References
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Additional Information
- Nancy Hingston
- Affiliation: Department of Mathematics, The College of New Jersey, P. O. Box 7718, Ewing, New Jersey 08628-0718
- Email: hingston@tcnj.edu
- Received by editor(s): May 4, 1996
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 1129-1141
- MSC (1991): Primary 58E10; Secondary 57R91, 53C22
- DOI: https://doi.org/10.1090/S0002-9947-98-02097-2
- MathSciNet review: 1458305