Journal of Symplectic Geometry
Volume 16 (2018)
Exact, graded, immersed Lagrangians and Floer theory
Pages: 357 – 438
We develop Lagrangian Floer Theory for exact, graded, immersed Lagrangians with clean self-intersection using Seidel’s setup. 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.
Both authors were supported by the Institute of Mathematical Sciences, Chinese University of Hong Kong while this work was partially completed.
Received 31 August 2014
Accepted 10 November 2017
Published 18 July 2018