Integral Bases for Certain TQFT-Modules of the Torus
| dc.creator | Qazaqzeh, Khaled | |
| dc.date | 2005-09-23 | |
| dc.date.accessioned | 2026-07-07T06:18:51Z | |
| dc.date.available | 2026-07-07T06:18:51Z | |
| dc.description | We find two bases for the lattices of the SU(2)-TQFT-theory modules of the torus over given rings of integers. We use variant of the bases defined in [GMW]for the lattices of the SO(3)-TQFT-theory modules of the torus. Moreover, we discuss the quantization functors (V_{p},Z_{p}) for p=1, and p=2. Then we give concrete bases for the lattices of the modules in the 2-theory. We use the above results to discuss the ideal invariant defined in [FK]. The ideal can be computed for all 3-manifolds using the 2-theory, and all 3-manifolds with torus boundary using the SU(2)-TQFT-theory. In fact, we show that this ideal in the SU(2)-TQFT-theory is contained in the product of the ideals in the 2-theory and the SO(3)-TQFT-theory under a certain change of cofficients, and it is equal in the case of a torus boundary. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509565 | |
| dc.identifier | http://arxiv.org/abs/math/0509565 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94880 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R56 | |
| dc.title | Integral Bases for Certain TQFT-Modules of the Torus | |
| dc.type | text |