3 papers
math.DG2025
An ancient Ricci flow emerging from Taub-Bolt
John Hughes
This paper proves that there exists a non-trivial ancient solution to the Ricci flow emerging from the Taub-Bolt metric.
math.DG2025
Towards a Taub-Bolt to Taub-NUT via Ricci flow with surgery
John Hughes
This paper shows for the first time the existence of a Ricci flow with surgery with local topology change \mathbb{CP}^2\setminus\{ \mathrm{pt}\} \rightarrow \mathbb{R}^4. The post…
math.DG2024
L^2-instability of the Taub-Bolt metric under the Ricci flow
John Hughes
In this paper we prove that there exists a compact perturbation of the Ricci flat Taub-Bolt metric that evolves under the Ricci flow into a finite time singularity modelled on the…