Talk page
Title:
Hodge theory and the Goldman-Turaev Lie bialgebra Part II
Speaker:
Abstract:
In this talk I will explain why the completion of the Goldman-Turaev Lie bialgebra of a framed, oriented surface has a natural mixed Hodge structure (MHS) for each choice of complex structure on the surface and the framing. This MHS is compatible with the Hodge theory on the relative unipotent completion of the corresponding mapping class group. One ingredient in the proof is a homological formula for it which may be of independent interest. We describe several applications and potential applications.
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