A monotone Lagrangian casebook

Jack Smith

doi:10.2140/agt.2021.21.2273

Abstract

We present an array of new calculations in Lagrangian Floer theory which demonstrate observations relating to symplectic reduction, grading periodicity and the closed–open map. We also illustrate Perutz’s symplectic Gysin sequence and the quilt theory of Wehrheim and Woodward.

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Jack Smith. "A monotone Lagrangian casebook." Algebr. Geom. Topol. 21 (5) 2273 - 2312, 2021. https://doi.org/10.2140/agt.2021.21.2273

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Received: 10 May 2019; Revised: 8 June 2020; Accepted: 24 September 2020; Published: 2021

First available in Project Euclid: 29 November 2021

MathSciNet: MR4334513

zbMATH: 1496.53087

Digital Object Identifier: 10.2140/agt.2021.21.2273

Subjects:

Primary: 53D12 , 53D40

Secondary: 53D20

Keywords: Floer cohomology , Lagrangian submanifolds

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