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pro vyhledávání: '"Bullock, Doug"'
Autor:
Bullock, Doug, Faro, Walter Lo
Publikováno v:
Algebr. Geom. Topol. 5 (2005) 107-118
We compute the Kauffman bracket skein module of the complement of a twist knot, finding that it is free and infinite dimensional. The basis consists of cables of a two-component link, one component of which is a meridian of the knot. The cabling of t
Externí odkaz:
http://arxiv.org/abs/math/0402102
For each closed, orientable surface F, we construct a local, diffeomorphism invariant trace on the Kauffman bracket skein module K_t(F x [0,1]). The trace is defined when |t| is neither 0 nor 1, and at certain roots of unity. At t = - 1, the trace is
Externí odkaz:
http://arxiv.org/abs/math/0005218
Autor:
Bullock, Doug, Przytycki, Jozef H.
We describe, for a few small examples, the Kauffman bracket skein algebra of a surface crossed with an interval. If the surface is a punctured torus the result is a quantization of the symmetric algebra in three variables (and an algebra closely rela
Externí odkaz:
http://arxiv.org/abs/math/9902117
See q-alg/9710003 for the corrected version of this paper.
Comment: This paper has been withdrawn
Comment: This paper has been withdrawn
Externí odkaz:
http://arxiv.org/abs/math/9802023
Publikováno v:
Proceedings of the American Mathematical Society, 2002 Aug 01. 130(8), 2479-2485.
Externí odkaz:
https://www.jstor.org/stable/2699487
Publikováno v:
Commun.Math.Phys. 198 (1998) 47-81
We construct lattice gauge field theory based on a quantum group on a lattice of dimension 1. Innovations include a coalgebra structure on the connections, and an investigation of connections that are not distinguishable by observables. We prove that
Externí odkaz:
http://arxiv.org/abs/q-alg/9710003
For each skein module we describe a homology theory which, for any three manifold recovers the skein module at its zero level. The theory measures skein-like relations among skein relations, mimicking Hilbert's theory of syzygies. We work explicit ex
Externí odkaz:
http://arxiv.org/abs/q-alg/9701019
This is a survey article describing the various ways in which the Kauffman bracket skein module is a quantization of surface group characters. These include a purely heuristic sense of deformation of a presentation, a Poisson quantization, and a latt
Externí odkaz:
http://arxiv.org/abs/q-alg/9609024
Autor:
Bullock, Doug
Let $M$ be a compact orientable 3-manifold. The set of characters of $SL_2({\mathbb C})$ representations of the fundamental group of $M$ forms a closed affine algebraic set. We show that its coordinate ring is isomorphic to a specialization of the Ka
Externí odkaz:
http://arxiv.org/abs/q-alg/9604014
The Kauffman bracket skein module $K(M)$ of a 3-manifold $M$ is defined over formal power series in the variable $h$ by letting $A=e^{h/4}$. For a compact oriented surface $F$, it is shown that $K(F \times I)$ is a quantization of the $\g$-characters
Externí odkaz:
http://arxiv.org/abs/q-alg/9604013