|
|||||
|
|
Lie bialgebra structure on cyclic cohomology of Fukaya categories |
|
| Authors: | Xiaojun CHEN Hai-Long HER Shanzhong SUN |
| Institution: | 1. Department of Mathematics, Sichuan University, Chengdu 610064, China2. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China3. Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048,4. Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048, China |
| Abstract: | Let M be an exact symplectic manifold with contact type boundary such that c1(M) = 0. Motivated by noncommutative symplectic geometry and string topology, we show that the cyclic cohomology of the Fukaya category of M has an involutive Lie bialgebra structure. |
| Keywords: | Fukaya category cyclic cohomology Lie bialgebra |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 | |
| 点击此处可从《Frontiers of Mathematics in China》下载免费的PDF全文 | |