Publications

Kauffman bracket versus Jones polynomial, joint with Shamon Almeida pdf version.

The action of the Kauffman bracket skein algebra of the torus on the Kauffman bracket skein module of the 3-twist knot complement, joint with Hongwei Wang pdf version.

Una identidad algebraica y los determinantes circulantes, pdf version.

The topological quantum field theory of Riemann's theta functions, joint with Alastair Hamilton, pdf version.

Un problema de geometria combinatoria y las curvas elipticas, html version.

Classical theta functions from a quantum group perspective, joint with Alastair Hamilton, pdf version.

Representations of the Kauffman bracket skein algebra of the punctured torus, joint with Jea-Pil Cho, postscript version, pdf version.

From classical theta functions to quantum field theory, joint with Alejandro Uribe, postscript version, pdf version.

Quantum mechanics and non-abelian theta functions for the gauge group SU(2), joint with Alejandro Uribe, postscript version, pdf version.

Some results about the Kauffman bracket skein module of the twist knot exterior, joint with Fumikazu Nagasato, postscript version, pdf version

El polinomio de Jones y la mecanica cuantica, QA09010084

On the holomorphic point of view in the theory of quantum knot invariants postscript version, pdf version

The computation of the non-commutative generalization of the A-polynomial for the figure-eight, joint with Jeremy Sain postscript version, pdf version

The Weyl quantization and the quantum group quantization of the moduli space of flat SU(2)-connections on the torus are the same, joint with Alejandro Uribe, postscript version, pdf version

The non-commutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial, joint with Jeremy Sain postscript version, pdf version

Noncommutative trigonometry and the A-polynomial of the trefoil knot postscript version, pdf version

On the relation between the A-polynomial and the Jones polynomial postscript version

The A-polynomial from the noncommutative viewpoint, joint with Charles Frohman and Walter Lofaro, postscript version, pdf version

Skein modules and the noncommutative torus, joint with Charles Frohman postscript version, pdf version

On the formula of the quantum invariant for three manifolds with boundary postscript version

On the groupoid of transformations of rigid structures on surfaces, joint with Louis Funar postscript version

SL(2,C) topological quantum field theory with corners postscript version

Topological quantum field theory with corners based on the Kauffman bracket postscript version, pdf version

The quantum invariant of the complement of the regular neighborhood of a link postscript version

Topological Hilbert Nullstellensatz for Bergman spaces postscript version, pdf version

Rings with topologies induced by spaces of functions postscript version, pdf version

Compact perturbations of Fredholm n-tuples, II, postscript version,pdf version

Compact perturbations of Fredholm n-tuples postscript version , pdf version

A short proof of a result on polynomials, postscript version , pdf version



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