Exact, graded, immersed Lagrangians and floer theory

Garrett Alston, Erkao Bao

Research output: Contribution to journalArticlepeer-review

Abstract

We develop Lagrangian Floer Theory for exact, graded, immersed Lagrangians with clean self-intersection using Seidel’s setup [21]. A positivity assumption on the index of the self intersection points is imposed to rule out certain (but not all) disc bubbles. This allows the Lagrangians to be included in the exact Fukaya category. We also study quasi-isomorphism of Lagrangians under certain exact deformations which are not Hamiltonian.

Original languageEnglish (US)
Pages (from-to)357-438
Number of pages82
JournalJournal of Symplectic Geometry
Volume16
Issue number2
DOIs
StatePublished - 2018
Externally publishedYes

Bibliographical note

Funding Information:
Both authors were supported by the Institute of Mathematical Sciences, Chinese University of Hong Kong while this work was partially completed.

Publisher Copyright:
© 2018, International Press of Boston, Inc. All rights reserved.

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