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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