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arXiv · 2605.19636

Quantum Troesch complex

Théo Deturck
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Abstract

We study the effect of quantum Frobenius twist on Ext-groups in the category of quantum polynomial, and prove that the existence of type of complexes, called quantum Troesch complexes, enables the construction of a spectral sequence computing the Ext groups of twisted functors from the knowledge of Ext-groups of the original functors. We then construct quantum Troesch complexes in the special case where the parameters of the quantum deformation is a root of unity of order 3.

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Théo Deturck. 2026-05-19. Quantum Troesch complex. https://arxiv.org/abs/2605.19636

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