Freeness of equivariant cohomology and mutants of compactified representations

Autor: Franz, Matthias, Puppe, Volker
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