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math.SG2020
Holomorphic curves and continuation maps in Liouville bundles
Yong-Geun Oh, Hiro Lee Tanaka
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…
math.SG2018
Generation for Lagrangian cobordisms in Weinstein manifolds
Hiro Lee Tanaka
We prove that Lagrangian cocores and Lagrangian linking disks of a stopped Weinstein manifold generate the Lagrangian cobordism infinity-category. As a geometric consequence, we se…
math.SG2018
Surgery induces exact sequences in Lagrangian cobordisms
Hiro Lee Tanaka
We prove that if L_0 and L_1 are exact branes intersecting in precisely one point, then there exists a fiber sequence in the infinity-category of Lagrangian cobordisms consisting o…