Zobrazeno 1 - 10
of 75
pro vyhledávání: '"GELCA, RĂZVAN"'
Autor:
Esebre, Sunday, Gelca, Razvan
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 recurrence polynomials which have been related, by the AJ conjecture, to the g
Externí odkaz:
http://arxiv.org/abs/2409.18960
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. This reduction guarantees resolution as a linear combination of basis e
Externí odkaz:
http://arxiv.org/abs/2305.18535
Autor:
Gelca, Razvan, Wang, Hongwei
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 relationship between knot complements and their boundary tori, an idea th
Externí odkaz:
http://arxiv.org/abs/2102.05750
Autor:
Almeida, Shamon, Gelca, Razvan
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 $SU(2)$ Chern-Simons theory to the Kauffman bracket skein modules. Se
Externí odkaz:
http://arxiv.org/abs/2102.03655
Autor:
Gelca, Razvan, Hamilton, Alastair
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 and the actions of the Heisenberg groups and modular groups on them.
Externí odkaz:
http://arxiv.org/abs/1406.4269
Autor:
Gelca, Razvan, Hamilton, Alastair
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 and modular groups on them.
Externí odkaz:
http://arxiv.org/abs/1209.1135
Autor:
Gelca, Razvan, Uribe, Alejandro
This paper outlines an approach to the non-abelian theta functions of the $SU(2)$-Chern-Simons theory with the methods used by A. Weil for studying classical theta functions. First we translate in knot theoretic language classical theta functions, th
Externí odkaz:
http://arxiv.org/abs/1007.2010
Autor:
Gelca, Razvan, Uribe, Alejandro
Abelian Chern-Simons theory relates classical theta functions to the topological quantum field theory of the linking number of knots. In this paper we explain how to derive the constructs of abelian Chern-Simons theory directly from the theory of cla
Externí odkaz:
http://arxiv.org/abs/1006.3252
Autor:
Gelca, Razvan
Publikováno v:
Aportaciones Mat. Comun., 36, Soc. Mat. Mexicana, 2006, 85-99
In this paper we discuss progress made in the study of the Jones polynomial from the point of view of quantum mechanics. This study reduces to the understanding of the quantization of the moduli space of flat SU(2)-connections on a surface with the C
Externí odkaz:
http://arxiv.org/abs/0901.0084
Autor:
Gelca, Razvan
Publikováno v:
Journal of Geometry and Physics, 56 (2006), 2163-2176
In this paper we describe progress made toward the construction of the Witten-Reshetikhin-Turaev theory of knot invariants from the geometric point of view. This is done in the perspective of a joint result of the author with A. Uribe which relates t
Externí odkaz:
http://arxiv.org/abs/0812.1039