Rabinowitz Floer homology and mirror symmetry
@article{Venkatesh2017RabinowitzFH, title={Rabinowitz Floer homology and mirror symmetry}, author={S. Venkatesh}, journal={Journal of Topology}, year={2017}, volume={11}, pages={144-179} }
We define a quantitative invariant of Liouville cobordisms with monotone filling through an action-completed symplectic cohomology theory. We illustrate the non-trivial nature of this invariant by computing it for annulus subbundles of the tautological bundle over $\mathbb{C} P^1$ and give further conjectural computations based on mirror symmetry. We prove a non-vanishing result in the presence of Lagrangian submanifolds with non-vanishing Floer homology.
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