Please use this identifier to cite or link to this item:
http://dx.doi.org/10.25673/118439
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DC Field | Value | Language |
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dc.contributor.author | Starostka, Maciej | - |
dc.contributor.author | Waterstraat, Nils | - |
dc.date.accessioned | 2025-03-05T07:07:07Z | - |
dc.date.available | 2025-03-05T07:07:07Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | https://opendata.uni-halle.de//handle/1981185920/120398 | - |
dc.identifier.uri | http://dx.doi.org/10.25673/118439 | - |
dc.description.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. | eng |
dc.language.iso | eng | - |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject.ddc | 510 | - |
dc.title | The E-cohomological Conley index, cup-lengths and the Arnold conjecture on T2n | eng |
dc.type | Article | - |
local.versionType | publishedVersion | - |
local.bibliographicCitation.journaltitle | Advanced nonlinear studies | - |
local.bibliographicCitation.volume | 19 | - |
local.bibliographicCitation.issue | 3 | - |
local.bibliographicCitation.pagestart | 519 | - |
local.bibliographicCitation.pageend | 528 | - |
local.bibliographicCitation.publishername | de Gruyter | - |
local.bibliographicCitation.publisherplace | Berlin | - |
local.bibliographicCitation.doi | 10.1515/ans-2019-2044 | - |
local.subject.keywords | E-Cohomology, Critical Points, Arnold Conjecture | - |
local.openaccess | true | - |
dc.identifier.ppn | 1760795305 | - |
cbs.publication.displayform | 2019 | - |
local.bibliographicCitation.year | 2019 | - |
cbs.sru.importDate | 2025-03-05T07:06:12Z | - |
local.bibliographicCitation | Enthalten in Advanced nonlinear studies - Berlin : de Gruyter, 2001 | - |
local.accessrights.dnb | free | - |
Appears in Collections: | Open Access Publikationen der MLU |
Files in This Item:
File | Description | Size | Format | |
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10.1515_ans-2019-2044.pdf | 3.1 MB | Adobe PDF | ![]() View/Open |