Relations among Ρ-Twists

Research output: Working paper/Preprint › Preprint

Authors

  • Andreas Hochenegger
  • Andreas Krug

Research Organisations

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Details

Original languageEnglish
Publication statusE-pub ahead of print - 28 Jul 2022

Abstract

Given two \(\mathbb{P}\)-objects in some algebraic triangulated category, we investigate the possible relations among the associated \(\mathbb{P}\)-twists. The main result is that, under certain technical assumptions, the \(\mathbb{P}\)-twists commute if and only if the \(\mathbb{P}\)-objects are orthogonal. Otherwise, there are no relations at all. In particular, this applies to most of the known pairs of \(\mathbb{P}\)-objects on hyperk\"ahler varieties. In order to show this, we relate \(\mathbb{P}\)-twists to spherical twists and apply known results about the absence of relations between pairs of spherical twists.

Keywords

    math.AG, math.CT

Cite this

Relations among Ρ-Twists. / Hochenegger, Andreas; Krug, Andreas.
2022.

Research output: Working paper/Preprint › Preprint

Hochenegger, A., & Krug, A. (2022). Relations among Ρ-Twists. Advance online publication. https://doi.org/10.48550/arXiv.2207.14120
Hochenegger A, Krug A. Relations among Ρ-Twists. 2022 Jul 28. Epub 2022 Jul 28. doi: 10.48550/arXiv.2207.14120
Hochenegger, Andreas ; Krug, Andreas. / Relations among Ρ-Twists. 2022.
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