As on arXiv
Abstract
This paper proves that there exists a non-trivial ancient solution to the Ricci flow emerging from the Taub-Bolt metric.
Its neighbourhood
Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
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L^2-instability of the Taub-Bolt metric under the Ricci flow
Topics Ricci flow · Same author John Hughes · Shared terms “Taub Bolt”, “Bolt metric”
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Towards a Taub-Bolt to Taub-NUT via Ricci flow with surgery
Topics Ricci flow · Same author John Hughes · Shared terms “Taub Bolt”
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A rigidity result for ancient Ricci flows
Topics Ancient solutions
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On Ricci flows with closed and smooth tangent flows
Topics Ancient solutions
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On the fundamental group of non-collapsed ancient Ricci flows
Topics Ancient solutions
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Ancient Ricci flows of bounded girth
Topics Ancient solutions
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Parametrization of ancient Ricci flows with smooth compact tangent shrinkers
Topics Ancient solutions
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Uniqueness of positively curved ancient Ricci flows on surfaces with boundary
Topics Ancient solutions
Read around it
Background reading
The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.
In the guidebook
- 11B.2Ancient Solutions and the Harnack Inequality
Comparing curvature across space and time.
- 12B.1κ-Solutions
Ancient, nonnegatively curved, noncollapsed: the models for singularities.
- 12B.2The Asymptotic Soliton and Three-Dimensional Shrinkers
Perelman's Proposition 11.2 proved with Morgan and Tian: the reduced-length bounds on κ-solutions, the limit of rescalings, the equality case, and the classification of shrinking solitons in dimensions two and three.