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Homological algebra related to surfaces with boundary

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arxiv 1508.02741 v3 pith:HTA5QBHA submitted 2015-08-11 math.QA math.SG

Kai Cieliebak , Kenji Fukaya , Janko Latschev This is my paper · ORCID
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keywords algebraicalgebrascontextsrelatedtheorythreealgebraarticle
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abstract

In this article we describe an algebraic framework which can be used in three related but different contexts: string topology, symplectic field theory, and Lagrangian Floer theory of higher genus. It turns out that the relevant algebraic structure for all three contexts is a homotopy version of involutive bi-Lie algebras, which we call IBL$_\infty$-algebras.

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