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math.AT2010★ 4 cited
Lie bialgebras and the cyclic homology of structures in topology
Xiaojun Chen
categories are a mathematical structure that appears in topological field theory, string topology, and symplectic topology. This paper studies the cyclic homology of a C…
math.AT2009★ 7 cited
Quantization of the Lie bialgebra of string topology
Xiaojun Chen, Farkhod Eshmatov, Wee Liang Gan
Let M be a smooth, simply-connected, closed oriented manifold, and LM the free loop space of M. Using a Poincare duality model for M, we show that the reduced equivariant homology…
math.AT2007★ 5 cited
An Algebraic Chain Model of String Topology
Xiaojun Chen
A chain complex model for the free loop space of a connected, closed and oriented manifold is presented, and on its homology, the Gerstenhaber and Batalin-Vilkovisky algebra struct…