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 language | English (US) |
|---|---|
| Pages (from-to) | 357-438 |
| Number of pages | 82 |
| Journal | Journal of Symplectic Geometry |
| Volume | 16 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2018 |
| Externally published | Yes |
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.