Floer field theory for tangles

Published 26 Mar 2015 in math.SG | (1503.07615v4)

Abstract: We use quilted Floer theory to construct functor-valued invariants of tangles arising from moduli spaces of flat bundles on punctured surfaces. As an application, we show the non-triviality of certain elements in the symplectic mapping class groups of moduli spaces of flat bundles on punctured spheres.

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