On String Topology of Three Manifolds
| dc.creator | Abbaspour, Hossein | |
| dc.date | 2003-10-08 | |
| dc.date | 2003-11-20 | |
| dc.date.accessioned | 2026-07-07T06:25:49Z | |
| dc.date.available | 2026-07-07T06:25:49Z | |
| dc.description | Let $M$ be a closed, oriented and smooth manifold of dimension $d$. Let $ŁM$ be the space of smooth loops in $M$. Chas and Sullivan introduced loop product, a product of degree $-d$ on the homology of $LM$. In this paper we show how for three manifolds the ``nontriviality'' of the loop product relates to the ``hyperbolicity'' of the underlying manifold. This is an application of the existing powerful tool and results in three dimensional topology such as the prime decomposition, torus decomposition, Seifert theorem, torus theorem. | |
| dc.description | 38 pages, 13 figures | |
| dc.identifier | https://arxiv.org/abs/math/0310112 | |
| dc.identifier | http://arxiv.org/abs/math/0310112 | |
| dc.identifier | Topology 44 (2005), no. 5, 1059--1091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96939 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R19, 57N10, 57N16 | |
| dc.title | On String Topology of Three Manifolds | |
| dc.type | text |