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Moduli Spaces of (Bi)algebra Structures in Topology and Geometry
[chapter]

2018
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MATRIX Book Series
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After introducing some motivations for this survey, we describe a formalism to parametrize a wide class of algebraic structures occurring naturally in various problems of topology, geometry and mathematical physics. This allows us to define an "up to homotopy version" of algebraic structures which is coherent (in the sense of ∞-category theory) at a high level of generality. To understand the classification and deformation theory of these structures on a given object, a relevant idea inspired

doi:10.1007/978-3-319-72299-3_20
fatcat:mcwbsnyqozd53esasdci4jjox4