2020 Theses Doctoral
On Wrapped Fukaya Category and loop space of Lagrangians in a Liouville Manifold
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 $C_{*}(\Omega_{L} \Lag)$ to wrapped Floer cohomology of Lagrangian submanifold $\CW^{-*}(L,L)$. In the case of a cotangent bundle and a Lagrangian co-fiber, the composition of our map with the map from $\CW^{-*}(L,L) \to C_{*}(\Omega_q Q) $ as defined in \cite{Ab12} shows that this map is split surjective.
Files
- Zhang_columbia_0054D_15857.pdf application/pdf 699 KB Download File
More About This Work
- Academic Units
- Mathematics
- Thesis Advisors
- Abouzaid, Mohammed
- Degree
- Ph.D., Columbia University
- Published Here
- July 6, 2020