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arXiv · 1705.00032

Rabinowitz Floer homology and mirror symmetry

Sara Venkatesh
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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.

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Sara Venkatesh. 2017-04-28. Rabinowitz Floer homology and mirror symmetry. https://doi.org/10.1112/topo.12050

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