On 2d-4d motivic wall-crossing formulas

2017/11/10 by Gabriel Kerr, Kerr, Gabriel, Yan Soibelman +1 · 1 citation
Computer Science · Mathematics · #14N35 #18E30 #53D37 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Polynomial and algebraic computation #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1711.03695

openalex publication_date 2017/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we propose definitions and examples of categorical enhancements of the data involved in the 2d-4d wall-crossing formulas which generalize both Cecotti-Vafa and Kontsevich-Soibelman motivic wall-crossing formulas.

Citations

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Wall-crossing, Hitchin Systems, and the WKB Approximation

Cited by

• The extended tropical vertex group

Related

• Equivalence of Three Wall Crossing Formulae
• Operadic approach to wall-crossing
• A Wall Crossing Formula for Motivic Enumerative Invariants
• Wall-crossing formulas for framed objects
• Wall-crossing of the motivic Donaldson-Thomas invariants