English

The higher rank local categorical DT/PT correspondence

Algebraic Geometry 2023-09-21 v2

Abstract

In this paper we derive the higher rank local DT/PT models via the perverse coherent systems on the resolved conifold and the extended ADHM quiver, as critical loci. We generalize the categorical DT/PT correspondence by P\u{a}durariu and Toda to higher ranks and obtain the categorical wallcrossing formula as semiorthogonal decompositions.

Keywords

Cite

@article{arxiv.2309.10555,
  title  = {The higher rank local categorical DT/PT correspondence},
  author = {Wu-yen Chuang},
  journal= {arXiv preprint arXiv:2309.10555},
  year   = {2023}
}

Comments

15 pages. v2: presentation shortened. Comments are welcome