dorsal/arxiv
View SchemaThe hyperbolic volume of knots from quantum dilogarithm
| Authors | R. M. Kashaev |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9601025 |
| URL | https://arxiv.org/abs/q-alg/9601025 |
Abstract
The invariant of a link in three-sphere, associated with the cyclic quantum dilogarithm, depends on a natural number $N$. By the analysis of particular examples it is argued that for a hyperbolic knot (link) the absolute value of this invariant grows exponentially at large $N$, the hyperbolic volume of the knot (link) complement being the growth rate.
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"abstract": "The invariant of a link in three-sphere, associated with the cyclic quantum\ndilogarithm, depends on a natural number $N$. By the analysis of particular\nexamples it is argued that for a hyperbolic knot (link) the absolute value of\nthis invariant grows exponentially at large $N$, the hyperbolic volume of the\nknot (link) complement being the growth rate.",
"arxiv_id": "q-alg/9601025",
"authors": [
"R. M. Kashaev"
],
"categories": [
"q-alg",
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"title": "The hyperbolic volume of knots from quantum dilogarithm",
"url": "https://arxiv.org/abs/q-alg/9601025"
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