Quantization of the Lie bialgebra of string topology

Mathematics – Algebraic Topology

Scientific paper

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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.

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