Equivariant Poincaré–Alexander–Lefschetz duality and the Cohen–Macaulay property
| dc.contributor.author | Allday, Christopher | |
| dc.contributor.author | Franz, Matthias | |
| dc.contributor.author | Puppe, Volker | |
| dc.date.accessioned | 2015-03-04T16:02:08Z | |
| dc.date.available | 2015-03-04T16:02:08Z | |
| dc.date.issued | 2014 | eng |
| dc.description.abstract | We prove a Poincaré–Alexander–Lefschetz duality theorem for rational torus-equivariant cohomology and rational homology manifolds. We allow non-compact and non-orientable spaces. We use this to deduce certain short exact sequences in equivariant cohomology, originally due to Duflot in the differentiable case, from similar, but more general short exact sequences in equivariant homology. A crucial role is played by the Cohen–Macaulayness of relative equivariant cohomology modules arising from the orbit filtration. | eng |
| dc.description.version | published | |
| dc.identifier.doi | 10.2140/agt.2014.14.1339 | eng |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/30162 | |
| dc.language.iso | eng | eng |
| dc.subject | torus actions, homology manifolds, equivariant homology, equivariant cohomology, Atiyah–Bredon complex, Poincaré–Alexander–Lefschetz duality, Cohen–Macaulay modules | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Equivariant Poincaré–Alexander–Lefschetz duality and the Cohen–Macaulay property | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Allday2014Equiv-30162,
year={2014},
doi={10.2140/agt.2014.14.1339},
title={Equivariant Poincaré–Alexander–Lefschetz duality and the Cohen–Macaulay property},
number={3},
volume={14},
issn={1472-2747},
journal={Algebraic & Geometric Topology},
pages={1339--1375},
author={Allday, Christopher and Franz, Matthias and Puppe, Volker}
} | |
| kops.citation.iso690 | ALLDAY, Christopher, Matthias FRANZ, Volker PUPPE, 2014. Equivariant Poincaré–Alexander–Lefschetz duality and the Cohen–Macaulay property. In: Algebraic & Geometric Topology. 2014, 14(3), pp. 1339-1375. ISSN 1472-2747. eISSN 1472-2739. Available under: doi: 10.2140/agt.2014.14.1339 | deu |
| kops.citation.iso690 | ALLDAY, Christopher, Matthias FRANZ, Volker PUPPE, 2014. Equivariant Poincaré–Alexander–Lefschetz duality and the Cohen–Macaulay property. In: Algebraic & Geometric Topology. 2014, 14(3), pp. 1339-1375. ISSN 1472-2747. eISSN 1472-2739. Available under: doi: 10.2140/agt.2014.14.1339 | eng |
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| kops.sourcefield | Algebraic & Geometric Topology. 2014, <b>14</b>(3), pp. 1339-1375. ISSN 1472-2747. eISSN 1472-2739. Available under: doi: 10.2140/agt.2014.14.1339 | deu |
| kops.sourcefield.plain | Algebraic & Geometric Topology. 2014, 14(3), pp. 1339-1375. ISSN 1472-2747. eISSN 1472-2739. Available under: doi: 10.2140/agt.2014.14.1339 | deu |
| kops.sourcefield.plain | Algebraic & Geometric Topology. 2014, 14(3), pp. 1339-1375. ISSN 1472-2747. eISSN 1472-2739. Available under: doi: 10.2140/agt.2014.14.1339 | eng |
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| source.bibliographicInfo.fromPage | 1339 | eng |
| source.bibliographicInfo.issue | 3 | eng |
| source.bibliographicInfo.toPage | 1375 | eng |
| source.bibliographicInfo.volume | 14 | eng |
| source.identifier.eissn | 1472-2739 | eng |
| source.identifier.issn | 1472-2747 | eng |
| source.periodicalTitle | Algebraic & Geometric Topology | eng |
| temp.internal.duplicates | <p>Keine Dubletten gefunden. Letzte Überprüfung: 10.12.2014 16:49:42</p> | deu |