English

Residue formula for flag manifold of type $A$ from wall-crossing

Algebraic Geometry 2024-07-25 v2

Abstract

We consider equivariant integrals on flag manifolds of type AA. Using a computational method inspired by the theory of wall-crossing formulas by Takuro Mochizuki, we re-prove residue formulas for equivariant integrals given by Weber and Zielenkiewicz. As an application, we give the determinantal formula of the Grothendieck polynomial by properly setting KK theory classes.

Keywords

Cite

@article{arxiv.2309.01401,
  title  = {Residue formula for flag manifold of type $A$ from wall-crossing},
  author = {Ryo Ohkawa},
  journal= {arXiv preprint arXiv:2309.01401},
  year   = {2024}
}