English

Motivic DT/PT Correspondence

Algebraic Geometry 2025-12-12 v2

Abstract

We prove a motivic version of the Donaldson--Thomas/Pandharipande--Thomas (DT/PT) correspondence on Calabi--Yau threefolds. The proof combines Toda's wall crossing framework and the motivic integral identity recently proved by Bu. This provides a refinement of the numerical DT/PT correspondence.

Keywords

Cite

@article{arxiv.2511.22213,
  title  = {Motivic DT/PT Correspondence},
  author = {Chih-Huan Chang},
  journal= {arXiv preprint arXiv:2511.22213},
  year   = {2025}
}

Comments

30 pages, comments welcome, v2: minor corrections