On p-Adic Convergence of Perturbative Invariants of Some Rational Homology Spheres
| dc.creator | Rozansky, L. | |
| dc.date | 1996-01-17 | |
| dc.date | 1996-02-19 | |
| dc.date.accessioned | 2026-07-07T09:08:37Z | |
| dc.date.available | 2026-07-07T09:08:37Z | |
| dc.description | R.~Lawrence has conjectured that for rational homology spheres, the series of Ohtsuki's invariants converges p-adicly to the SO(3) Witten-Reshetikhin-Turaev invariant. We prove this conjecture for Seifert rational homology spheres. We also derive it for manifolds constructed by a surgery on a knot in S^3. Our derivation is based on a conjecture about the colored Jones polynomial that we have formulated in our previous paper. We also present numerical examples of p-adic convergence for some simple manifolds. | |
| dc.description | 28 pages, LaTeX (the main conjecture is corrected, the analytic formula for the perturbative invariant is improved) | |
| dc.identifier | https://arxiv.org/abs/q-alg/9601015 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9601015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150781 | |
| dc.subject | Quantum Algebra | |
| dc.title | On p-Adic Convergence of Perturbative Invariants of Some Rational Homology Spheres | |
| dc.type | text |