Year: 2019
Type: preprint
Abstract: 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. We give a geometric criterion for when this functor is spherical in the sense of Anno-Logvinenko. This criterion is a generalization of the situation where the stop comes from a Landau-Ginzburg model. The second functor is the Viterbo transfer map from a Liouville domain to a subdomain. We show that when the domain and subdomain are independently Weinstein, this functor is a homological epimorphism, which means that it becomes a localization after passing to module categories. This should be compared with a result of Ganatra-Pardon-Shende, which states that the Viterbo map is a genuine localization when the cobordism is Weinstein.
Source: arXiv (Cornell University)
Author: Sylvan, Zachary
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2966224757