T-duality for non-free circle actions
几何拓扑
2010-05-10 v4 高能物理 - 理论
代数拓扑
摘要
We study the topology of T-duality for pairs of U(1)-bundles and three-dimensional integral cohomology classes over orbispaces. In particular, our results apply to U(1)-spaces with finite isotropy. We generalize the theory developed in our previous paper math.GT/0405132 from spaces to orbispaces.
引用
@article{arxiv.math/0508550,
title = {T-duality for non-free circle actions},
author = {Ulrich Bunke and Thomas Schick},
journal= {arXiv preprint arXiv:math/0508550},
year = {2010}
}
备注
The proof of Lemma 4.2 is corrected. It now requires the existence of a certain cut-off function. In order to ensure this we added the condition "very proper" to the definition of an orbispace atlas (which holds automaticlly if the atlas is locally compact). We also added two references connected with this Lemma