On the absolute value of the SO(3)-invariant and other summands of the Turaev-Viro invariant
| dc.creator | Sokolov, Maxim | |
| dc.date | 1996-01-15 | |
| dc.date | 1996-04-20 | |
| dc.date.accessioned | 2026-07-07T09:08:36Z | |
| dc.date.available | 2026-07-07T09:08:36Z | |
| dc.description | The Turaev-Viro invariant is defined as a certain state sum calculated on an arbitrary simple spine of a 3-manifold. We specify each term of the sum as 0-term, 1-term or 2-term such that each sum of the terms having the same type is an invariant too. The sum of the 0-terms is equal to the square of the modulus of the so-called SO(3)-invariant. In the paper we express the sum of the 0-terms and 2-terms and the sum of the 1-terms via the Turaev-Viro invariants. Tables of values of the invariants are enclosed. The values are presented as polynomials on primitive roots of unity with integer coefficients. | |
| dc.description | Plain TeX, 12 pages, no figures. In this version we added a definition of the invariant TV_1 on a triangulation, Lemma 3 and Remark 5 in section 6, some remarks about the tables. We also corrected the definition of an odd edge in section 6 | |
| dc.identifier | https://arxiv.org/abs/q-alg/9601013 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9601013 | |
| dc.identifier | Knot Theory, Banach Center Publ., Vol. 42, 1998, pp 395--408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150780 | |
| dc.subject | Quantum Algebra | |
| dc.title | On the absolute value of the SO(3)-invariant and other summands of the Turaev-Viro invariant | |
| dc.type | text |