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arXiv · 1407.3871

Exact, graded, immersed Lagrangians and Floer theory

Garrett Alston·Erkao Bao
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Abstract

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.

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Garrett Alston, Erkao Bao. 2014-07-15. Exact, graded, immersed Lagrangians and Floer theory. https://arxiv.org/abs/1407.3871

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