11 citations · 11 across the 1 of their papers we have counts for
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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…
Lectures on Factorization Homology, Infinity-Categories, and Topological Field Theories
Araminta Amabel, Artem Kalmykov, Lukas Müller +1
These are notes from an informal mini-course on factorization homology, infinity-categories, and topological field theories. The target audience was imagined to be graduate student…
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…