String topology of Poincare duality groups
| dc.creator | Abbaspour, Hossein | |
| dc.creator | Cohen, Ralph | |
| dc.creator | Gruher, Kate | |
| dc.date | 2005-11-07 | |
| dc.date | 2009-04-02 | |
| dc.date.accessioned | 2026-07-07T12:59:12Z | |
| dc.date.available | 2026-07-07T12:59:12Z | |
| dc.description | Let G be a Poincare duality group of dimension n. For a given element g in G, let C_g denote its centralizer subgroup. Let L_G be the graded abelian group defined by (L_G)_p = oplus_{[g]}H_{p+n}(C_g) where the sum is taken over conjugacy classes of elements in G. In this paper we construct a multiplication on L_G directly in terms of intersection products on the centralizers. This multiplication makes L_G a graded, associative, commutative algebra. When G is the fundamental group of an aspherical, closed oriented n manifold M, then (L_G)_* = H_{*+n}(LM), where LM is the free loop space of M. We show that the product on L_G corresponds to the string topology loop product on H_*(LM) defined by Chas and Sullivan. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 22 February 2008 | |
| dc.identifier | https://arxiv.org/abs/math/0511181 | |
| dc.identifier | http://arxiv.org/abs/math/0511181 | |
| dc.identifier | Geom. Topol. Monogr. 13 (2008) 1-10 | |
| dc.identifier | doi:10.2140/gtm.2008.13.1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225499 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | 55P35, 20J06 | |
| dc.title | String topology of Poincare duality groups | |
| dc.type | text |