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arXiv · 2606.17928

The iterated geometric Green's formula

Chao Shen·Jie Xiao
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Abstract

Fang, Lan, and Xiao established the geometric Green's formula as a categorical isomorphism for arbitrary semisimple complexes. In this short note, we generalize their work to multi-step compositions. Specifically, we establish the iterated geometric Green's formulas for the composition of an $(n-1)$-fold restriction and an induction, as well as its dual.

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Chao Shen, Jie Xiao. 2026-06-16. The iterated geometric Green's formula. https://arxiv.org/abs/2606.17928

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