Lagrangian cobordism and Fukaya categories
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Author / Producer
Date
2014
Publication Type
Journal Article
ETH Bibliography
yes
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OPEN ACCESS
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Abstract
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.
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published
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Journal / series
Volume
24 (6)
Pages / Article No.
1731 - 1830
Publisher
Birkhäuser
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Software
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Organisational unit
03839 - Biran, Paul I. / Biran, Paul I.
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.