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Lagrangian Cobordism and Fukaya Categories
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Lagrangian Cobordism and Fukaya Categories
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Given a symplectic manifold M, we consider a category with objects finite ordered families of Lagrangian submanifolds of M (subject to certain additional constraints) and with morphisms Lagrangian cobordisms relating them. We construct a functor that maps this category to a variant of the derived Fukaya category of M in a way that takes into account the triangulated structure of the latter.
Forward citations
Cited by 1 Pith paper
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Towards First Quantisation Formalism for AKSZ Theories
A 1d AKSZ theory coupled to 1d supergravity is constructed whose path integral on a metric graph equals the Feynman graph weight of a given AKSZ theory.
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