28 citations · 120 across the 17 of their papers we have counts for
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math.AT2014★ 11 cited
Factorization homology of stratified spaces
David Ayala, John Francis, Hiro Lee Tanaka
This work forms a foundational study of factorization homology, or topological chiral homology, at the generality of stratified spaces with tangential structures. Examples of such…
math.AT2014
Local structures on stratified spaces
David Ayala, John Francis, Hiro Lee Tanaka
We develop a theory of conically smooth stratified spaces and their smooth moduli, including a notion of classifying maps for tangential structures. We characterize continuous spac…
math.SG2014★ 3 cited
In simply-connected cotangent bundles, exact Lagrangian cobordisms are h-cobordisms
Hiro Lee Tanaka
We show that if Q is simply connected, every exact Lagrangian cobordism between compact, exact Lagrangians in the cotangent bundle of Q is an h-cobordism. The result is an exercise…