dorsal/arxiv
View SchemaOn p-Adic Convergence of Perturbative Invariants of Some Rational Homology Spheres
| Authors | L. Rozansky |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9601015 |
| URL | https://arxiv.org/abs/q-alg/9601015 |
Abstract
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.
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"date_created": "2026-03-02T18:01:28.643000Z",
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"abstract": "R.~Lawrence has conjectured that for rational homology spheres, the series of\nOhtsuki\u0027s invariants converges p-adicly to the SO(3) Witten-Reshetikhin-Turaev\ninvariant. We prove this conjecture for Seifert rational homology spheres. We\nalso derive it for manifolds constructed by a surgery on a knot in S^3. Our\nderivation is based on a conjecture about the colored Jones polynomial that we\nhave formulated in our previous paper. We also present numerical examples of\np-adic convergence for some simple manifolds.",
"arxiv_id": "q-alg/9601015",
"authors": [
"L. Rozansky"
],
"categories": [
"q-alg",
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"title": "On p-Adic Convergence of Perturbative Invariants of Some Rational Homology Spheres",
"url": "https://arxiv.org/abs/q-alg/9601015"
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