Wall-crossing for toric mutations

Abstract

This note explains how to deduce the wall-crossing formula for toric mutations established by Pascaleff-Tonkonog from the perverse schober of the corresponding local Landau-Ginzburg model. Along the way, we develop a general framework to extract a wall-crossing formula from a perverse schober on the projective line with a single critical point.

19 pages, 2 figures; some typos corrected

References in corpus (1)

• A combinatorial calculation of the Landau-Ginzburg model $M={\mathbb{C}}^3,W=z_1{z}_2{z}_3$

Cited by in corpus (1)

• Mirror Symmetry for Truncated Cluster Varieties