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

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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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Keywords

Details

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

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