Rabinowitz Floer homology and mirror symmetry

Abstract

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.

37 pages, 10 figures

References in corpus (1)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor

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