Braided Deformations of Monoidal Categories and Vassiliev Invariants
q-alg
2007-05-23 v1 Quantum Algebra
Abstract
Braided deformations of (symmetric) monoidal categories are related to Vassiliev theory by a direct generalization of well-known results relating "quantum" knot invariants to Vassiliev invariants. The deformation theory of braidings is subsumed by the deformation theory of monoidal functors, which proves surprisingly rich: the deformation complex of a monoidal functor has the same structure as the deformation complex of an algebra, including a pre-Lie structure, from which it is see that the problem of deforming monoidal functors (including braidings) is purely cohomological in nature.
Keywords
Cite
@article{arxiv.q-alg/9710010,
title = {Braided Deformations of Monoidal Categories and Vassiliev Invariants},
author = {David N. Yetter},
journal= {arXiv preprint arXiv:q-alg/9710010},
year = {2007}
}
Comments
LaTeX 2.1, uses amssym.def and amssym, 20 pages, all figures in LaTeX