The E-Cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T 2n

Maciej Starostka; Nils Waterstraat

doi:10.1515/ans-2019-2044

The E-Cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T 2n

Abstract

We show that the E-cohomological Conley index, that was introduced by the first author recently, has a natural module structure. This yields a new cup-length and a lower bound for the number of critical points of functionals on Hilbert spaces. When applied to the setting of the Arnold conjecture, this paves the way to a short proof on tori, where it was first shown by C. Conley and E. Zehnder in 1983.

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Maciej Starostka dr inż.
Nils Waterstraat

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Category:: Articles
Type:: artykuły w czasopismach
Published in:: ADVANCED NONLINEAR STUDIES no. 19, pages 519 - 528,
ISSN: 1536-1365
Language:: English
Publication year:: 2019
Bibliographic description:: Starostka M., Waterstraat N.: The E-Cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T 2n// ADVANCED NONLINEAR STUDIES -Vol. 19,iss. 3 (2019), s.519-528
DOI:: Digital Object Identifier (open in new tab) 10.1515/ans-2019-2044
Verified by:: Gdańsk University of Technology