Mathematics – Algebraic Topology
Scientific paper
2009-02-12
Mathematics
Algebraic Topology
16 pages
Scientific paper
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 of LM has the structure of a Lie bialgebra, and we
construct a Hopf algebra which quantizes the Lie bialgebra.
Chen Xiaojun
Eshmatov Farkhod
Gan Wee Liang
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