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arXiv · 2003.04977

Holomorphic curves and continuation maps in Liouville bundles

Yong-Geun Oh·Hiro Lee Tanaka
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Abstract

We construct an unwrapped Floer theory for bundles of Liouville sectors. In particular, we construct a compatible collection of unwrapped Fukaya categories of fibers of a Liouville bundle, and prove that the two natural constructions of continuation maps in this setting behave compatibly. These constructions are exploited in [OT19] to construct homotopically coherent actions of Lie groups on wrapped Fukaya categories, thereby proving a conjecture from Teleman's 2014 ICM address.

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Yong-Geun Oh, Hiro Lee Tanaka. 2020-03-10. Holomorphic curves and continuation maps in Liouville bundles. https://arxiv.org/abs/2003.04977

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