Gamma conjecture I for flag varieties

Fuente: arXiv
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Main Author: Chow, Chi Hong
Format: Preprint
Published: 2025
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_version_ 1866915987877527552
author Chow, Chi Hong
author_facet Chow, Chi Hong
contents 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 $\widehatΓ$-class and contains the critical point of the superpotential that corresponds to the Perron-Frobenius eigenvalue on the A-side.
format Preprint
id arxiv_https___arxiv_org_abs_2501_13221
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gamma conjecture I for flag varieties
Chow, Chi Hong
Algebraic Geometry
Mathematical Physics
Representation Theory
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 $\widehatΓ$-class and contains the critical point of the superpotential that corresponds to the Perron-Frobenius eigenvalue on the A-side.
title Gamma conjecture I for flag varieties
topic Algebraic Geometry
Mathematical Physics
Representation Theory
url https://arxiv.org/abs/2501.13221