Associated graded modules of mixed Hodge modules on quivers and preprojective K-theoretic Hall algebra

Yixin Lan

Associated graded modules of mixed Hodge modules on quivers and preprojective K-theoretic Hall algebra

Representation Theory 2026-07-04 v1

Authors: Yixin Lan

Abstract

We study the connection between mixed Hodge modules on quiver moduli spaces and the K-theoretic Hall algebra of preprojective algebras by taking associated graded modules. Furthermore, we show that the functor taking associated graded modules commutes with reflection functors.

Keywords

mixed Hodge modules quiver moduli spaces K-theoretic Hall algebra preprojective algebras associated graded modules reflection functors

Cite

@article{arxiv.2607.03767,
  title  = {Associated graded modules of mixed Hodge modules on quivers and preprojective K-theoretic Hall algebra},
  author = {Yixin Lan},
  journal= {arXiv preprint arXiv:2607.03767},
  year   = {2026}
}

Comments

21 pages