关于二维流形上平坦联结模空间的辛形形式
alg-geom
2008-02-03 v2 高能物理 - 理论
代数几何
摘要
设 为紧连通半单李群。我们扩展 Weinstein [W] 的技术，给出通过群上 cohomology 构造作用于二维流形 的 fundamental group 的表示（即平滑类比的 ）及其相对字符 variety 上的辛形式 。我们将该构造推广到展示在扩展模空间 [J1] 上的辛形式（它是一个来自这些模空间通过辛约化获得的 Hamiltonian -空间），并计算其上 作用的矩映射。
关键词
引用
@article{arxiv.alg-geom/9404013,
title = {Symplectic Forms on Moduli Spaces of Flat Connections on 2-manifolds},
author = {Lisa C. Jeffrey},
journal= {arXiv preprint arXiv:alg-geom/9404013},
year = {2008}
}
备注
12 pages, LaTex version 2.09 This paper will appear in Proceedings of the Georgia International Topology Conference (Athens, GA, August 1993), ed. W. Kazez (International Press). The present version (April 1996) is essentially the version that will appear in print. Several sign errors have been corrected. Some errors have been corrected in the proof of nondegeneracy of the symplectic form (Section 5) on an open dense set in the extended moduli space