The mystery of the brane relation
Geometric Topology
2007-05-23 v1 Quantum Algebra
Abstract
The purpose of the present paper is to introduce and explore two surprises that arise when we apply a standard procedure to study the number of finite type invariants of 3-manifolds introduced independently by M. Goussarov and K. Habiro based on surgery on claspers, Y-graphs or clovers, \cite{Gu,Ha,GGP}. One surprise is that the upper bounds depend on a bit more than a choice of generators for H_1. A complementary surprise a curious brane relation (in two flavors, open and closed) which shows that the upper bounds are in a certain sense independent of the choice of generators of H_1.
Cite
@article{arxiv.math/0006045,
title = {The mystery of the brane relation},
author = {Stavros Garoufalidis},
journal= {arXiv preprint arXiv:math/0006045},
year = {2007}
}
Comments
AMS-LaTeX, 9 pages with 17 figures