Zobrazeno 1 - 10
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pro vyhledávání: '"Kashaev, R. M."'
Autor:
Kashaev, R. M.
The construction of quantum knot invariants from solutions of the Yang--Baxter equation (R-matrices) is reviewed with the emphasis on a class of R-matrices admitting an interpretation in intrinsically three-dimensional terms.
Comment: 13 pages,
Comment: 13 pages,
Externí odkaz:
http://arxiv.org/abs/1002.2576
Autor:
Kashaev, R. M.
A Delta-groupoid is an algebraic structure which axiomatizes the combinatorics of a truncated tetrahedron. By considering two simplest examples coming from knot theory, we illustrate how can one associate a Delta-groupoid to an ideal triangulation of
Externí odkaz:
http://arxiv.org/abs/1001.3030
Autor:
Kashaev, R. M.
A Delta-groupoid is an algebraic structure which axiomitizes the combinatorics of a truncated tetrahedron. It is shown that there are relations of Delta-groupoids to rings, group pairs, and (ideal) triangulations of three-manifolds. In particular, on
Externí odkaz:
http://arxiv.org/abs/0908.1261
Autor:
Kashaev, R. M.
The relationship (both classical and quantum mechanical) between the discrete Liouville equation and Teichm\"uller theory is reviewed.
Comment: 24 pages, 11 figures, submitted to Handbook in Teichm\"uller theory, minor corrections, references ad
Comment: 24 pages, 11 figures, submitted to Handbook in Teichm\"uller theory, minor corrections, references ad
Externí odkaz:
http://arxiv.org/abs/0810.4352
Autor:
Kashaev, R. M.
Based on the notion of a $\Delta$-group(oid), ring-valued invariants of pairs of topological spaces can be defined in intrinsic topological terms.
Comment: 5 pages, no figures, Theorem 1 has been removed, some corrections added
Comment: 5 pages, no figures, Theorem 1 has been removed, some corrections added
Externí odkaz:
http://arxiv.org/abs/math/0701543
Autor:
Kashaev, R. M.
The q-binomial formula in the limit q->1 is shown to be equivalent to the Rogers five term dilogarithm identity.
Comment: 6 pages, no figures
Comment: 6 pages, no figures
Externí odkaz:
http://arxiv.org/abs/math/0407078
Autor:
Kashaev, R. M.
Let M be the moduli space of irreducible flat PSL(2,R) connections on a punctured surface of finite type with parabolic holonomies around punctures. By using a notion of admissibility of an ideal arc, M is covered by dense open subsets associated to
Externí odkaz:
http://arxiv.org/abs/math/0307186
Autor:
Faddeev, L. D., Kashaev, R. M.
Publikováno v:
J.Phys.A35:4043-4048,2002
It is shown that the N-th power of the light-cone evolution operator of 2N-periodic quantum discrete Liouville model can be identified with the Dehn twist operator in quantum Teichmuller theory.
Comment: 5 pages, 2 figures
Comment: 5 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/hep-th/0201049
Autor:
Kashaev, R. M., Reshetikhin, N.
The notion of a symmetrically factorizable Lie group is introduced. It is shown that each symmetrically factorizable Lie group is related to a set-theoretical solution of the pentagon equation. Each simple Lie group (after a certain Abelian extension
Externí odkaz:
http://arxiv.org/abs/math/0111171
Autor:
Kashaev, R. M.
The operator realizing a Dehn twist in quantum Teichmuller theory is diagonalized and continuous spectrum is obtained. This result is in agreement with the expected spectrum of conformal weights in quantum Liouville theory at c>1. The completeness co
Externí odkaz:
http://arxiv.org/abs/math/0008148