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arXiv · 1801.10485

On entropy of $\mathbb{P}$-twists

Yu-Wei Fan
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Abstract

We show that the $\mathbb{P}$-twist associated to any $\mathbb{P}$-object of a smooth project variety is not conjugate to a standard autoequivalence. This result is obtained by computing the categorical entropy functions of $\mathbb{P}$-twists. We also determine the categorical polynomial entropy of spherical twists and $\mathbb{P}$-twists, under an additional assumption.

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Yu-Wei Fan. 2018-01-31. On entropy of $\mathbb{P}$-twists. https://arxiv.org/abs/1801.10485

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