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arXiv · 2412.09446

Fixed points of reverse Hessenberg convolution varieties

Joel Kamnitzer
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Abstract

Associated to any unit interval graph, Syu Kato introduced a variety which gives (via the geometric Satake correspondence) a graded $GL_m$ representation whose character is the chromatic quasisymmetric polynomial of the graph. In this short note, we reprove Kato's result by analyzing the fixed points of his varieties.

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Joel Kamnitzer. 2024-12-12. Fixed points of reverse Hessenberg convolution varieties. https://arxiv.org/abs/2412.09446

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