Geometric Representation Theory and G-Signature
| dc.creator | Grieder, Ralph | |
| dc.date | 1998-11-17 | |
| dc.date.accessioned | 2026-07-07T05:26:53Z | |
| dc.date.available | 2026-07-07T05:26:53Z | |
| dc.description | Let G be a finite group. To every smooth G-action on a compact, connected and oriented surface we can associate its data of singular orbits. The set of such data becomes an Abelian group B_G under the G-equivariant connected sum. We will show that the map which sends G to B_G is functorial and carries many features of the representation theory of finite groups and thus describes a geometric representation theory. We will prove that B_G consists only of copies of Z and Z/2Z. Furthermore we will show that there is a surjection from the G-equivariant cobordism group of surface diffeomorphisms to B_G. We will define a G-signature which is related to the G-signature of Atiyah and Singer and prove that this new G-signature is injective on the copies of Z in B_G. | |
| dc.description | 28 pages, See also http://www.math.nwu.edu/~ralph/ | |
| dc.identifier | https://arxiv.org/abs/math/9811102 | |
| dc.identifier | http://arxiv.org/abs/math/9811102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77726 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 57S25; 20C15; 57R85 | |
| dc.title | Geometric Representation Theory and G-Signature | |
| dc.type | text |