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Abstract: We use the Ricci flow with surgery to study four-dimensional SU2 xU1-symmetric metrics on a manifold with fixed boundary given by a squashed3-sphere. Depending on the initial metric we show that the flow converges toeither the Taub-Bolt or the Taub-NUT metric, the latter case potentiallyrequiring surgery at some point in the evolution. The Ricci flow allows us toexplore the Euclidean action landscape within this symmetry class. This workextends the recent work of Headrick and Wiseman to more interesting topologies.



Autor: G. Holzegel, T. Schmelzer, C. Warnick

Fuente: https://arxiv.org/



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