Please use this identifier to cite or link to this item: http://dx.doi.org/10.25673/118439
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dc.contributor.authorStarostka, Maciej-
dc.contributor.authorWaterstraat, Nils-
dc.date.accessioned2025-03-05T07:07:07Z-
dc.date.available2025-03-05T07:07:07Z-
dc.date.issued2019-
dc.identifier.urihttps://opendata.uni-halle.de//handle/1981185920/120398-
dc.identifier.urihttp://dx.doi.org/10.25673/118439-
dc.description.abstractWe 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.eng
dc.language.isoeng-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.subject.ddc510-
dc.titleThe E-cohomological Conley index, cup-lengths and the Arnold conjecture on T2neng
dc.typeArticle-
local.versionTypepublishedVersion-
local.bibliographicCitation.journaltitleAdvanced nonlinear studies-
local.bibliographicCitation.volume19-
local.bibliographicCitation.issue3-
local.bibliographicCitation.pagestart519-
local.bibliographicCitation.pageend528-
local.bibliographicCitation.publishernamede Gruyter-
local.bibliographicCitation.publisherplaceBerlin-
local.bibliographicCitation.doi10.1515/ans-2019-2044-
local.subject.keywordsE-Cohomology, Critical Points, Arnold Conjecture-
local.openaccesstrue-
dc.identifier.ppn1760795305-
cbs.publication.displayform2019-
local.bibliographicCitation.year2019-
cbs.sru.importDate2025-03-05T07:06:12Z-
local.bibliographicCitationEnthalten in Advanced nonlinear studies - Berlin : de Gruyter, 2001-
local.accessrights.dnbfree-
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