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June 2021 A Lagrangian pictionary
Paul Biran, Octav Cornea
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Kyoto J. Math. 61(2): 399-493 (June 2021). DOI: 10.1215/21562261-2021-0007X

Abstract

We describe a dictionary of geometry ⟷ algebra in Lagrangian topology. As a by-product, we obtain a tautological (in a particular sense which we explain) proof of a folklore conjecture (sometimes attributed to Kontsevich) claiming that the objects and structure of the derived Fukaya category can be represented through immersed Lagrangians. Our construction is based on certain Lagrangian cobordism categories endowed with a structure called surgery models.

Citation

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Paul Biran. Octav Cornea. "A Lagrangian pictionary." Kyoto J. Math. 61 (2) 399 - 493, June 2021. https://doi.org/10.1215/21562261-2021-0007X

Information

Received: 8 April 2020; Revised: 4 October 2020; Accepted: 26 October 2020; Published: June 2021
First available in Project Euclid: 16 April 2021

Digital Object Identifier: 10.1215/21562261-2021-0007X

Subjects:
Primary: 53D12
Secondary: 53D37, 57R90

Rights: Copyright © 2021 by Kyoto University

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Vol.61 • No. 2 • June 2021
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