28 citations · 120 across the 17 of their papers we have counts for
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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…
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…
Associative algebras and broken lines
Jacob Lurie, Hiro Lee Tanaka
Inspired by Morse theory, we introduce a topological stack Broken, which we refer to as the moduli stack of broken lines. We show that Broken can be presented as a Lie groupoid wit…
Stellar Stratifications on Classifying Spaces
Dai Tamaki, Hiro Lee Tanaka
We extend Björner's characterization of the face poset of finite CW complexes to a certain class of stratified spaces, called cylindrically normal stellar complexes. As a direct co…