Topological constructions of tensor fields on moduli spaces

被引:1
作者
Turaev, Vladimir [1 ]
机构
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
基金
美国国家科学基金会;
关键词
Moduli spaces; Tensor fields; Goldman's bracket; POISSON; SURFACES; LOOPS;
D O I
10.1016/j.aim.2021.107998
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show how topology of a space may lead to tensor fields on (the smooth part of) moduli spaces of the fundamental group. (c) 2021 Published by Elsevier Inc.
引用
收藏
页数:33
相关论文
共 20 条
[1]  
Alekseev A., ARXIV180409566
[2]   The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem [J].
Alekseev, Anton ;
Kawazumi, Nariya ;
Kuno, Yusuke ;
Naef, Florian .
ADVANCES IN MATHEMATICS, 2018, 326 :1-53
[3]   THE YANG-MILLS EQUATIONS OVER RIEMANN SURFACES [J].
ATIYAH, MF ;
BOTT, R .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1983, 308 (1505) :523-615
[4]   Poisson structures on moduli spaces of representations [J].
Crawley-Boevey, William .
JOURNAL OF ALGEBRA, 2011, 325 (01) :205-215
[5]  
FOCK VV, 1999, AM MATH SOC TRANSL, V191, P67
[7]   THE SYMPLECTIC NATURE OF FUNDAMENTAL-GROUPS OF SURFACES [J].
GOLDMAN, WM .
ADVANCES IN MATHEMATICS, 1984, 54 (02) :200-225
[8]  
Hain R, ARXIV180709209
[9]   Center of the Goldman Lie algebra [J].
Kabiraj, Arpan .
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2016, 16 (05) :2839-2849
[10]   The logarithms of Dehn twists [J].
Kawazumi, Nariya ;
Kuno, Yusuke .
QUANTUM TOPOLOGY, 2014, 5 (03) :347-423