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- W3102068850 abstract "We define and compute the $L^2$ metric on the framed moduli space of circle invariant 1-instantons on the 4-sphere. This moduli space is four dimensional and our metric is $SO(3) times U(1)$ symmetric. We study the behaviour of generic geodesics and show that the metric is geodesically incomplete. Circle-invariant instantons on the 4-sphere can also be viewed as hyperbolic monopoles, and we interpret our results from this viewpoint. We relate our results to work by Habermann on unframed instantons on the 4-sphere and, in the limit where the radius of the 4-sphere tends to infinity, to results on instantons on Euclidean 4-space." @default.
- W3102068850 created "2020-11-23" @default.
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- W3102068850 date "2016-10-15" @default.
- W3102068850 modified "2023-09-24" @default.
- W3102068850 title "Adiabatic Dynamics of Instantons on S 4" @default.
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- W3102068850 doi "https://doi.org/10.1007/s00220-016-2769-6" @default.
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