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Chevalley-Monk formulas for bow varieties

Algebraic Geometry 2025-04-02 v3 Representation Theory

Abstract

We prove a formula for the multiplication of equivariant first Chern classes of tautological bundles of type A bow varieties with respect to the stable envelope basis. This formula naturally generalizes the classical Chevalley-Monk formula and can be formulated in terms of creating crossings of skein type diagrams that label the stable envelope basis.

Keywords

Cite

@article{arxiv.2310.11235,
  title  = {Chevalley-Monk formulas for bow varieties},
  author = {Till Wehrhan},
  journal= {arXiv preprint arXiv:2310.11235},
  year   = {2025}
}

Comments

55 pages, typos fixed, slight change in terminology

R2 v1 2026-06-28T12:53:18.478Z