17 citations · 68 across the 17 of their papers we have counts for
11 papers · 1 filter
Relating categorical dimensions in topology and symplectic geometry
Andrew Hanlon, Jeff Hicks, Oleg Lazarev
We study several notions of dimension for (pre-)triangulated categories naturally arising from topology and symplectic geometry. We prove new bounds on these dimensions and raise s…
Floer theory of Anosov flows in dimension three
Kai Cieliebak, Oleg Lazarev, Thomas Massoni +1
A smooth Anosov flow on a closed oriented three manifold gives rise to a Liouville structure on the four manifold which is not Weinstein, by a construction of…
The infinity-category of stabilized Liouville sectors
Oleg Lazarev, Zachary Sylvan, Hiro Lee Tanaka
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 sectori…
Localization and flexibilization in symplectic geometry
Oleg Lazarev, Zachary Sylvan, Hiro Lee Tanaka
We introduce the critical Weinstein infinity-category -- the result of stabilizing the category of Weinstein sectors and inverting subcritical morphisms -- and for every finite col…
Prime-localized Weinstein subdomains
Oleg Lazarev, Zachary Sylvan
For any high-dimensional Weinstein domain and finite collection of primes, we construct a Weinstein subdomain whose wrapped Fukaya category is a localization of the original wrappe…
Geometric and algebraic presentations of Weinstein domains
Oleg Lazarev
We prove that geometric intersections between Weinstein handles induce algebraic relations in the wrapped Fukaya category, which we use to study the Grothendieck group. We produce…