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On the wrapped Fukaya category and the loop space of Lagrangians in a Liouville manifold by Zhang, Zhongyi is a scholarly article available to read on EtoBox.

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We introduce an $A_\infty$ map from the cubical chain complex of the based loop space of Lagrangian submanifolds with Legendrian boundary in a Liouville Manifold $C_{*}(\Omega_{L} \mathcal{L}\mathit{ag})$ to wrapped Floer cohomology of Lagrangian submanifold $\mathcal{CW}^{-*}(L,L)$. In the case of a cotangent bundle and a Lagrangian co-fiber, the composition of our map with a previously constructed map from $\mathcal{CW}^*(L,L) \to C_{*}(\Omega_q Q) $ shows that this map is split surjective.

Author

Zhang, Zhongyi

Published

2020

Language

EN