Transactions of the American Mathematical Society

Author(s): Nancy Hingston
Journal: Trans. Amer. Math. Soc. 350 (1998), 1129-1141.
MSC (1991): Primary 58E10; Secondary 57R91, 53C22
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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.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 58E10, 57R91, 53C22

Nancy Hingston
Affiliation: Department of Mathematics, The College of New Jersey, P. O. Box 7718, Ewing, New Jersey 08628-0718
Email: hingston@tcnj.edu

DOI: 10.1090/S0002-9947-98-02097-2
PII: S 0002-9947(98)02097-2
Received by editor(s): May 4, 1996
Copyright of article: Copyright 1998, American Mathematical Society

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