Equivariant Lefschetz maps for simplicial complexes and smooth manifolds
| dc.contributor.author | Emerson, Heath | |
| dc.contributor.author | Meyer, Ralf | |
| dc.date.accessioned | 2022-03-04T18:13:11Z | |
| dc.date.available | 2022-03-04T18:13:11Z | |
| dc.date.copyright | 2009 | en_US |
| dc.date.issued | 2009-11 | |
| dc.description.abstract | Let X be a locally compact space with a continuous proper action of a locally compact group G. Assuming that X satisfies a certain kind of duality in equivariant bivariant Kasparov theory, we can enrich the classical construction of Lefschetz numbers for self-maps to an equivariant K-homology class. We compute the Lefschetz invariants for self-maps of finite-dimensional simplicial complexes and smooth manifolds. The resulting invariants are independent of the extra structure used to compute them. Since smooth manifolds can be triangulated, we get two formulas for the same Lefschetz invariant in this case. The resulting identity is closely related to the equivariant Lefschetz Fixed Point Theorem of Lück and Rosenberg. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | This research was supported by the National Science and Engineering Research Council of Canada Discovery Grant program, the Marie Curie Action Noncommutative Geometry and Quantum Groups (Contract MKTD-CT-2004-509794), and by the German Research Foundation [Deutsche Forschungsgemeinschaft (DFG)] through the Institutional Strategy of the University of Göttingen. | en_US |
| dc.identifier.citation | Emerson, H., and Meyer, R. (2009). Equivariant Lefschetz maps for simplicial complexes and smooth manifolds. Mathematische Annalen, 345(3), 599-630. https://doi.org/10.1007/s00208-009-0367-z | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s00208-009-0367-z | |
| dc.identifier.uri | http://hdl.handle.net/1828/13773 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mathematische Annalen | en_US |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Equivariant Lefschetz maps for simplicial complexes and smooth manifolds | en_US |
| dc.type | Article | en_US |