11 citations · 29 across the 3 of their papers we have counts for
3 papers
math.AT2019★ 11 cited
Cyclic structures and broken cycles
Hiro Lee Tanaka
We introduce a new way to encode semicyclic structures using a stack of broken cycles. (We also prove an analogue for paracyclic structures.) This was motivated not only by higher…
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…