扭曲泊松结构的积分
辛几何
2020-05-19 v2 数学物理
math.MP
量子代数
摘要
泊松流形可视为辛群胚的无穷小形式。Severa 与 Weinstein [math.SG/0107133] 所考虑的扭曲泊松流形是前者的自然推广,其亦出现在弦论中。本文证明了扭曲泊松流形与(可能奇异的)辛群胚的扭曲版本之间一一对应。
引用
@article{arxiv.math/0302268,
title = {Integration of twisted Poisson structures},
author = {Alberto S. Cattaneo and Ping Xu},
journal= {arXiv preprint arXiv:math/0302268},
year = {2020}
}
备注
12 pages; minor corrections (especially in terminology: "twisted symplectic" replaces "quasi-symplectic"), references updated; to appear in J. Geom. Phys