Quantization of the Lie Bialgebra of String Topology

被引：7

作者：

Chen, Xiaojun ^{[1
]}

Eshmatov, Farkhod ^{[1
]}

Gan, Wee Liang ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 301卷 / 01期

关键词：

HOMOLOGY;

D O I：

10.1007/s00220-010-1139-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let M be a smooth, simply-connected, closed oriented manifold, and LM the free loop space of M. Using a Poincar, duality model for M, we show that the reduced equivariant homology of LM has the structure of a Lie bialgebra, and we construct a Hopf algebra which quantizes the Lie bialgebra.

引用

页码：37 / 53

页数：17

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