English

Gamma conjecture I for flag varieties

Algebraic Geometry 2026-05-08 v3 Mathematical Physics math.MP Representation Theory

Abstract

We prove Gamma conjecture I for all flag varieties by following a strategy proposed by Galkin and Iritani. The main new ingredient is showing that the totally positive part of the Rietsch mirror is mirror to the Γ^\widehat{\Gamma}-class and contains the critical point of the superpotential that corresponds to the Perron-Frobenius eigenvalue on the A-side.

Keywords

Cite

@article{arxiv.2501.13221,
  title  = {Gamma conjecture I for flag varieties},
  author = {Chi Hong Chow},
  journal= {arXiv preprint arXiv:2501.13221},
  year   = {2026}
}
R2 v1 2026-06-28T21:14:09.446Z