JournalsaihpcVol. 9, No. 3pp. 305–319

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.
Infinite cup length in free loop spaces with an application to a problem of the N-body type cover
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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 -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 -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