9 citations · 35 across the 18 of their papers we have counts for
4 papers · 1 filter
Canonical Cauchy sequences for real numbers
Rinat Kashaev
Based on continued fractions with subtractions, we identify the set of real numbers with the set of infinite integer sequences with all terms but the first one greater or equal to…
Resurgence of Faddeev's quantum dilogarithm
Stavros Garoufalidis, Rinat Kashaev
The quantum dilogarithm function of Faddeev is a special function that plays a key role as the building block of quantum invariants of knots and 3-manifolds, of quantum Teichmüller…
The Alexander polynomial as a universal invariant
Rinat Kashaev
Let be the polynomial ring with the structure of a complex Hopf algebra induced from its interpretation as the algebra of regular functions…
Non-commutative bi-rational maps satisfying Zamolodchikov equation, and Desargues lattices
Adam Doliwa, Rinat M. Kashaev
We present new solutions of the functional Zamolodchikov tetrahedron equation in terms of birational maps in totally non-commutative variables. All the maps originate from Desargue…