2024/05/16 by Chenjing Bu, Bu, Chenjing · 1 citation
Mathematics · #14D23 (secondary) #14N35 (primary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research
paper · pdf · doi:10.48550/arxiv.2405.10092
openalex publication_date 2024/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We prove a motivic integral identity relating the motivic Behrend function of a (-1)-shifted symplectic stack to that of its stack of graded points. This generalizes analogous identities for moduli stacks of objects in 3-Calabi\unicodex2013Yau abelian categories obtained by Kontsevich\unicodex2013Soibelman and Joyce\unicodex2013Song, which are crucial in proving wall-crossing formulae for Donaldson\unicodex2013Thomas invariants. We expect our identity to be useful in extending motivic Donaldson\unicodex2013Thomas theory to general (-1)-shifted symplectic stacks.