Let M be an exact symplectic manifold with contact type boundary such that cl（M） = O. Motivated by noncommutative symplectic geometry and string topology, we show that the cyclic cohomology of the Fukaya category of...Let M be an exact symplectic manifold with contact type boundary such that cl（M） = O. 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.展开更多
基金The authors would like to thank the referees for pointing out several errors and hnprecisions and Professors Yiming Long, Yongbin Ruan and Gang Tian for their helpful communications and supports during these years. H. -L. Her was partially supported by the National Natural Science Foundation of China （Grant No. 10901084） S. Sun was partially supported by the National Natural Science Foundation of China （Grant Nos. 10731080, 11131004）, PHR201106118, and the Institute of Mathematics and Interdisciplinary Science at Capital Normal University all authors are also partially supported by the National Natural Science Foundation of China （Grant No. 11271269）.
文摘Let M be an exact symplectic manifold with contact type boundary such that cl（M） = O. 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.
