8 citations · 13 across the 4 of their papers we have counts for
10 papers
Braiding for the quantum gl_2 at roots of unity
R. Kashaev, N. Reshetikhin
In our preceding papers we started considering the categories of tangles with flat G-connections in their complements, where G is a simple complex algebraic group. The braiding (or…
The q-binomial formula and the Rogers dilogarithm identity
R. M. Kashaev
The q-binomial formula in the limit q->1 is shown to be equivalent to the Rogers five term dilogarithm identity.
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
Coordinates for the moduli space of flat PSL(2,R)-connections
R. M. Kashaev
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 admissibil…
Invariants of links with flat connections in their complements.II. Holonomy R-matrices related to quantized universal enveloping algebras at roots of 1
R. Kashaev, N. Reshetikhin
Holonomy R-matrices parametrized by finite-dimensional representations are constructed for quantized universal enveloping algebras of simple Lie algebras at roots of 1.
Invariants of tangles with flat connections in their complements.I. Invariants and holonomy R-matrices
R. Kashaev, N. Reshetikhin
The notion of holonomy -matrices is introduced. It is shown how to define invariants of tangles with flat connections in a principle -bundle of the complement of a tangle usi…