Freeness of equivariant cohomology and mutants of compactified representations
Autor: | Franz, Matthias, Puppe, Volker |
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Rok vydání: | 2007 |
Předmět: | |
Zdroj: | pp. 87-98 in: M. Harada et al. (eds.), Toric Topology (Osaka, 2006), Contemp. Math. 460, 2008 |
Druh dokumentu: | Working Paper |
DOI: | 10.1090/conm/460/09012 |
Popis: | We survey generalisations of the Chang-Skjelbred Lemma for integral coefficients. Moreover, we construct examples of manifolds with actions of tori of rank > 2 whose equivariant cohomology is torsion-free, but not free. This answers a question of Allday's. The "mutants" we construct are obtained from compactified representations and involve Hopf bundles in a crucial way. Comment: 11 pages; more details on the smooth structure of the mutants; other, minor changes |
Databáze: | arXiv |
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