Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Tanaka, Hiro Lee"'
Autor:
Tanaka, Hiro Lee, Traynor, Lisa
We construct a stable homotopy type invariant for any Legendrian submanifold in a jet bundle equipped with a linear-at-infinity generating family. We show that this spectrum lifts the generating family homology groups. When the generating family exte
Externí odkaz:
http://arxiv.org/abs/2408.01587
Autor:
Tanaka, Hiro Lee
We prove, over any base ring, that the infinity-category of strictly unital A-infinity-categories (and strictly unital functors) is equivalent to the infinity-category of unital A-infinity-categories (and unital functors). We also identify various mo
Externí odkaz:
http://arxiv.org/abs/2407.05532
Autor:
Tanaka, Hiro Lee
Consider the topologically enriched category of compact smooth manifolds (possibly with corners), with morphisms given by codimension zero smooth embeddings. Now formally identify any object X with its thickening X x [-1,1]. We prove that the resulti
Externí odkaz:
http://arxiv.org/abs/2307.09647
We prove the surprising fact that the infinity-category of stabilized Liouville sectors is a localization of an ordinary category of stabilized Liouville sectors and strict sectorial embeddings. From the perspective of homotopy theory, this result co
Externí odkaz:
http://arxiv.org/abs/2110.11754
We introduce the critical Weinstein category -- the result of stabilizing the category of Weinstein sectors and inverting subcritical morphisms -- and for every finite collection $P$ of prime numbers, construct a $P$-flexibilization endofunctor. Our
Externí odkaz:
http://arxiv.org/abs/2109.06069
Autor:
Oh, Yong-Geun, Tanaka, Hiro Lee
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 1177-1216
We prove that, for nice classes of infinite-dimensional smooth groups G, natural constructions in smooth topology and symplectic topology yield homotopically coherent group actions of G. This yields a bridge between infinite-dimensional smooth groups
Externí odkaz:
http://arxiv.org/abs/2003.06033
Autor:
Oh, Yong-Geun, Tanaka, Hiro Lee
We show that certain hands-on A-infinity-categorical constructions satisfy desirable universal properties in the infinity-category of A-infinity categories. For sufficiently cofibrant A-infinity categories, two models for quotients of A-infinity cate
Externí odkaz:
http://arxiv.org/abs/2003.05806
Autor:
Oh, Yong-Geun, Tanaka, Hiro Lee
We construct an unwrapped Floer theory for bundles of Liouville sectors. In particular, we construct a compatible collection of unwrapped Fukaya categories of fibers of a Liouville bundle, and prove that the two natural constructions of continuation
Externí odkaz:
http://arxiv.org/abs/2003.04977
Autor:
Oh, Yong-Geun, Tanaka, Hiro Lee
We establish the continuous functoriality of wrapped Fukaya categories with respect to Liouville automorphisms, yielding a way to probe the homotopy type of the automorphism group of a Liouville sector. These methods prove Liouville and monotone case
Externí odkaz:
http://arxiv.org/abs/1911.00349