# 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}
}```
• S. Venkatesh
• Published 2017
• Mathematics
• Journal of Topology
• 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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