Relation between quantum invariants of 3-manifolds and 2-dimensional CW-complexes
| dc.creator | Bobtcheva, Ivelina | |
| dc.creator | Quinn, Frank | |
| dc.date | 2000-12-21 | |
| dc.date.accessioned | 2026-07-07T04:39:22Z | |
| dc.date.available | 2026-07-07T04:39:22Z | |
| dc.description | We show that the Reshetikhin-Turaev-Walker invariant of 3-manifolds can be normalized to obtain an invariant of 4-dimensional thickenings of 2-complexes. Moreover when the underlying semisimple tortile category comes from the representations of a quantum group at a primitive prime root of unity, the 0-term in the Ohtsuki expansion of this invariant depends only on the spine and is the mod p invariant of 2-complexes defined previously from the second author. As a consequence it is shown that when the Euler characteristic is greater or equal to 1, the 2-complex invariant depends only on homology. The last statement doesn't hold for the negative Euler characteristic case. | |
| dc.description | 16 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0012212 | |
| dc.identifier | http://arxiv.org/abs/math/0012212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60630 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | Primary 57M20; Secondary 57M05 | |
| dc.title | Relation between quantum invariants of 3-manifolds and 2-dimensional CW-complexes | |
| dc.type | text |