Open-Closed String Topology and Moduli Space Actions via Open-Closed Hochschild Actions - Mathematics > Algebraic TopologyReport as inadecuate




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Abstract: In this paper we extend our correlation functions to the open-closed case.This gives rise to actions of an open-closed version of the Sullivan PROP aswell as an action of the relevant moduli space. There are several unexpectedstructures and conditions that arise in this extension which are forced upon usby considering the open sector. For string topology type operations, one cannotjust consider graphs, but has to take punctures into account and one has torestrict the underlying Frobenius algebras. In the moduli space, one first hasto pass to a smaller moduli space which is closed under open-closed duality andthen consider covers in order to account for the punctures.



Author: Ralph M. Kaufmann

Source: https://arxiv.org/







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