28 citations · 120 across the 17 of their papers we have counts for
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math.SG2016★ 7 cited
The Fukaya category pairs with Lagrangian cobordisms exactly
Hiro Lee Tanaka
We prove that a pairing between the Fukaya category and the oo-category of Lagrangian cobordisms respects mapping cones. This is another step toward constructing a lift of Fukaya c…
math.SG2016★ 11 cited
The Fukaya category pairs with Lagrangian cobordisms
Hiro Lee Tanaka
Fix a suitably convex, exact symplectic manifold M. We consider the stable oo-category Lag(M) of non-compact Lagrangians whose (higher) morphisms are (higher) Lagrangian cobordisms…
math.CT2016★ 2 cited
Functors (between oo-categories) that aren't strictly unital
Hiro Lee Tanaka
Let C and D be quasi-categories (a.k.a. infinity-categories). Suppose also that one has an assignment sending commutative diagrams of C to commutative diagrams of D which respects…