Infinite cup length in free loop spaces with an application to a problem of the N-body type
E. Fadell
Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706, U.S.A.S. Husseini
Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706, U.S.A.
Abstract
Cup lengths in the cohomology of the space of free loops (over fields of finite characteristic) are computed and results applied to prove the existence of infinitely many solutions of a Hamiltonian system of N-body type.
Résumé
« Cup » longueurs dans la cohomologie de l’espace des lacets libres (sur corps de caractéristique finie) sont obtenues et sont appliquées à démontrer, l’existence d’une infinité de solutions d’un système Hamiltonien à N-corps.
Cite this article
E. Fadell, S. Husseini, Infinite cup length in free loop spaces with an application to a problem of the N-body type. Ann. Inst. H. Poincaré Anal. Non Linéaire 9 (1992), no. 3, pp. 305–319
DOI 10.1016/S0294-1449(16)30239-6