On entropy of spherical twists

Ouchi, Genki

doi:10.1090/proc/14762

On entropy of spherical twists
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by Genki Ouchi; with an appendix by Arend Bayer PDF

Proc. Amer. Math. Soc. 148 (2020), 1003-1014 Request permission

Abstract:

In this paper, we compute categorical entropy of spherical twists. In particular, we prove that the Gromov–Yomdin-type conjecture holds for spherical twists. Moreover, we construct counterexamples of Gromov–Yomdin type conjecture for K3 surfaces modifying Fan’s construction for even higher-dimensional Calabi–Yau manifolds.

The appendix, by Arend Bayer, shows the nonemptiness of complements of a number of spherical objects in the derived categories of K3 surfaces.

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