健谈
发表于 2025-3-25 04:22:34
Volume Conjecture, invariant. The volume conjecture states that this function would grow exponentially with respect to . and its growth rate would give the simplicial volume of the knot complement. In this section we describe the volume conjecture and give proofs for the figure-eight knot and for the torus knot .(2, 2. + 1).
Pelvic-Floor
发表于 2025-3-25 09:46:28
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证明无罪
发表于 2025-3-25 12:39:58
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拾落穗
发表于 2025-3-25 17:37:52
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滴注
发表于 2025-3-25 23:59:00
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阻止
发表于 2025-3-26 02:58:34
Generalizations of the Volume Conjecture, imaginary part of .. We expect the (.) Chern–Simons invariant to appear. Secondly, we refine the conjecture by considering more precise approximation of the colored Jones polynomial. We conjecture that the Reidemeister torsion would appear. Lastly, we perturb . in . slightly and see what happens to
强制性
发表于 2025-3-26 06:05:04
Book 2018the knot complement. Here the colored Jones polynomial is a generalization of the celebrated Jones polynomial and is defined by using a so-called .R.-matrix that is associated with the .N.-dimensional representation of the Lie algebra sl(2;.C.). The volume conjecture was first stated by R. Kashaev i
凝乳
发表于 2025-3-26 11:51:04
978-981-13-1149-9The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd. 2018
Conflagration
发表于 2025-3-26 13:40:35
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macabre
发表于 2025-3-26 20:40:51
R-Matrix, the Colored Jones Polynomial, and the Kashaev Invariant,In this chapter we give definitions of the colored Jones polynomial. To do that we use a braid presentation and a knot diagram. Kashaev’s invariant is obtained as a specialization of the colored Jones polynomial.