On entropy of spherical twists

Genki Ouchi; Arend Bayer

doi:10.1090/proc/14762

On entropy of spherical twists

Genki Ouchi
, Arend Bayer

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1003-1014
Number of pages	12
Journal	Proceedings of the american mathematical society
Volume	148
Issue number	3
Early online date	18 Oct 2019
DOIs	https://doi.org/10.1090/proc/14762
Publication status	Published - 31 Mar 2020

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10.1090/proc/14762

1705.01001Accepted author manuscript, 169 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND)

https://arxiv.org/abs/1705.01001

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On entropy of spherical twists

Abstract

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