Toric Exoflops and Categorical Resolutions

TL;DR

This paper explores how exoflops, as transformations of gauged Landau-Ginzburg models, can yield categorical resolutions or equivalences of derived categories for specific toric stack intersections.

Contribution

It establishes sufficient criteria under which exoflops produce categorical resolutions or equivalences for complete intersections in toric stacks.

Findings

Provides criteria for categorical resolutions via exoflops.

Shows how exoflops relate to derived category equivalences.

Applies to complete intersections in toric stacks.

Abstract

An exoflop takes a gauged Landau-Ginzburg (LG) model, partially compactifies it, and then performs certain birational transformations on it. When certain criteria hold, this can provide a crepant categorical resolution or equivalence of derived categories associated to the gauged LG models. We provide sufficient criteria for when this provides categorical resolutions for (or equivalences between) certain complete intersections in toric stacks.