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arXiv · 2303.03436

Asymmetry of $\mathbb P$-Functors

Andreas Hochenegger·Andreas Krug
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Abstract

Recently, a new definition of $\mathbb P$-functors was proposed by Anno and Logvinenko. In their article, the authors wonder whether this notion is symmetric in the sense that the adjoints of $\mathbb P$-functors are again $\mathbb P$-functors, the analogue being true for spherical functors. We give geometric examples involving the Hilbert scheme of points on a surface that yield a negative answer.

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Andreas Hochenegger, Andreas Krug. 2023-03-06. Asymmetry of $\mathbb P$-Functors. https://doi.org/10.1215/21562261-2024-0047

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