22 citations · 63 across the 24 of their papers we have counts for
24 papers
A recursive relation in the torus knot
Sunday Esebre, Razvan Gelca
It is known that the colored Jones polynomials of a knot in the 3-dimensional sphere satisfy recursive relations, it is also known that these recursive relations come from recurren…
Algorithms for Skein Manipulation in a Genus-2 Handlebody
Rachel Kinard, Razvan Gelca, Paul T. Schrader
We present a series of algorithms for skein manipulation in a genus-2 handlebody, implementing a novel strand sorting method to reduce any skein to a skein in a 2-punctured disk. T…
The action of the Kauffman bracket skein algebra of the torus on the Kauffman bracket skein module of the 3-twist knot complement
Razvan Gelca, Hongwei Wang
We determine the action of the Kauffman bracket skein algebra of the torus on the Kauffman bracket skein module of the complement of the 3-twist knot. The point is to study the rel…
Kauffman bracket versus Jones polynomial skein modules
Shamon Almeida, Razvan Gelca
This paper resolves the problem of comparing the skein modules defined using the skein relations discovered by R. Kirby and P. Melvin that underlie the Reshetikhin-Turaev model for…
The topological quantum field theory of Riemann's theta functions
Razvan Gelca, Alastair Hamilton
In this paper we prove the existence and uniqueness of a topological quantum field theory that incorporates, for all Riemann surfaces, the corresponding spaces of theta functions a…
Classical theta functions from a quantum group perspective
Razvan Gelca, Alastair Hamilton
In this paper we construct the quantum group, at roots of unity, of abelian Chern-Simons theory. We then use it to model classical theta functions and the actions of the Heisenberg…