47 citations · 68 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
Homological Mirror Symmetry for local SYZ singularities
Mohammed Abouzaid, Zachary Sylvan
Gross and Siebert identified a class of singular Lagrangian torus fibrations which arise when smoothing toroidal degenerations, and which come in pairs that are related by mirror s…
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…
Orlov and Viterbo functors in partially wrapped Fukaya categories
Zachary Sylvan
We study two functors between (partially) wrapped Fukaya categories. The first is the Orlov functor from the Fukaya category of a stop to the Fukaya category of the ambient sector.…
On partially wrapped Fukaya categories
Zachary Sylvan
We define a new class of symplectic objects called "stops", which roughly speaking are Liouville hypersurfaces in the boundary of a Liouville domain. Locally, these can be viewed a…