Shadow world evaluation of the Yang-Mills measure
几何拓扑
2014-10-01 v2 微分几何
摘要
A new state-sum formula for the evaluation of the Yang-Mills measure in the Kauffman bracket skein algebra of a closed surface is derived. The formula extends the Kauffman bracket to diagrams that lie in surfaces other than the plane. It also extends Turaev's shadow world invariant of links in a circle bundle over a surface away from roots of unity. The limiting behavior of the Yang-Mills measure when the complex parameter approaches -1 is studied. The formula is applied to compute integrals of simple closed curves over the character variety of the surface against Goldman's symplectic measure.
引用
@article{arxiv.math/0205193,
title = {Shadow world evaluation of the Yang-Mills measure},
author = {Charles Frohman and Joanna Kania-Bartoszynska},
journal= {arXiv preprint arXiv:math/0205193},
year = {2014}
}
备注
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-17.abs.html