Equivariant cohomology, syzygies and orbit structure
| dc.contributor.author | Allday, Christopher | |
| dc.contributor.author | Franz, Matthias | |
| dc.contributor.author | Puppe, Volker | |
| dc.date.accessioned | 2015-03-11T09:19:54Z | |
| dc.date.available | 2015-03-11T09:19:54Z | |
| dc.date.issued | 2014 | eng |
| dc.description.abstract | Let X be a ``nice'' space with an action of a torus T. We consider the Atiyah-Bredon sequence of equivariant cohomology modules arising from the filtration of X by orbit dimension. We show that a front piece of this sequence is exact if and only if the H*(BT)-module HT*(X) is a certain syzygy. Moreover, we express the cohomology of that sequence as an Ext module involving a suitably defined equivariant homology of X. One consequence is that the GKM method for computing equivariant cohomology applies to a Poincaré duality space if and only if the equivariant Poincaré pairing is perfect. | eng |
| dc.description.version | published | |
| dc.identifier.doi | 10.1090/S0002-9947-2014-06165-5 | eng |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/30191 | |
| dc.language.iso | eng | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Equivariant cohomology, syzygies and orbit structure | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Allday2014Equiv-30191,
year={2014},
doi={10.1090/S0002-9947-2014-06165-5},
title={Equivariant cohomology, syzygies and orbit structure},
number={12},
volume={366},
issn={0002-9947},
journal={Transactions of the American Mathematical Society},
pages={6567--6589},
author={Allday, Christopher and Franz, Matthias and Puppe, Volker}
} | |
| kops.citation.iso690 | ALLDAY, Christopher, Matthias FRANZ, Volker PUPPE, 2014. Equivariant cohomology, syzygies and orbit structure. In: Transactions of the American Mathematical Society. 2014, 366(12), pp. 6567-6589. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-06165-5 | deu |
| kops.citation.iso690 | ALLDAY, Christopher, Matthias FRANZ, Volker PUPPE, 2014. Equivariant cohomology, syzygies and orbit structure. In: Transactions of the American Mathematical Society. 2014, 366(12), pp. 6567-6589. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-06165-5 | eng |
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| kops.sourcefield | Transactions of the American Mathematical Society. 2014, <b>366</b>(12), pp. 6567-6589. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-06165-5 | deu |
| kops.sourcefield.plain | Transactions of the American Mathematical Society. 2014, 366(12), pp. 6567-6589. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-06165-5 | deu |
| kops.sourcefield.plain | Transactions of the American Mathematical Society. 2014, 366(12), pp. 6567-6589. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-06165-5 | eng |
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| source.periodicalTitle | Transactions of the American Mathematical Society | eng |
| temp.internal.duplicates | <p>Keine Dubletten gefunden. Letzte Überprüfung: 17.12.2014 15:51:53</p> | deu |