Journal article
On pseudo-Anosov autoequivalences
- Abstract:
- Motivated by results of Thurston, we prove that any autoequivalence of a triangulated category induces a filtration by triangulated subcategories, provided the existence of Bridgeland stability conditions. The filtration is given by the exponential growth rate of masses under iterates of the autoequivalence, and only depends on the choice of a connected component of the stability manifold. We then propose a new definition of pseudo-Anosov autoequivalences, and prove that our definition is more general than the one previously proposed by Dimitrov, Haiden, Katzarkov, and Kontsevich. We construct new examples of pseudo-Anosov autoequivalences on the derived categories of quintic Calabi–Yau threefolds and quiver Calabi–Yau categories. Finally, we prove that certain pseudo-Anosov autoequivalences on quiver 3-Calabi–Yau categories act hyperbolically on the space of Bridgeland stability conditions.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, 360.2KB, Terms of use)
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- Publisher copy:
- 10.1016/j.aim.2021.107732
Authors
- Publisher:
- Elsevier
- Journal:
- Advances in Mathematics More from this journal
- Volume:
- 384
- Article number:
- 107732
- Publication date:
- 2021-05-04
- Acceptance date:
- 2021-03-20
- DOI:
- ISSN:
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0001-8708
- Language:
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English
- Keywords:
- Pubs id:
-
1169301
- Local pid:
-
pubs:1169301
- Deposit date:
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2021-03-25
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2021
- Rights statement:
- © 2021 Elsevier Inc. All rights reserved.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.aim.2021.107732
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