File:Taub–NUT space bow diagram.svg

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Original file ‎(SVG file, nominally 171 × 92 pixels, file size: 7 KB)

Captions

Captions

bow diagram corresponding to [[:wikipedia:Taub–NUT space]]

Summary

[edit]
Description
English: Bow diagram corresponding to wikipedia:Taub–NUT space, following Sergey A. Cherkis, "Instantons on Gravitons, arXiv:1007.0044, Figure 2. Also see Gaeta, G.; M. A. Rodríguez (2012), "Hyperkähler structure of the Taub–NUT metric", J. Nonlinear Math. Phys. 19:226, doi:10.1142/S1402925112500143 . This gives a diagram encoding the realization of Taub–NUT space via hyperkähler reduction from Nahm data. Here, l describes the size of the Taub–NUT circle fibre, and "1" means that the bundle living on the interval [-l/2, l/2] is a line bundle.
Date
Source Own work
Author Osteologia

LaTeX source code: 

\documentclass[tikz,crop,convert={outfile=\jobname.svg}]{standalone}
\usetikzlibrary{decorations.pathmorphing}
\begin{document}
\begin{tikzpicture}
\draw [
line join=round,
decorate, decoration={
    zigzag,
    segment length=4,
    amplitude=.9,post=lineto,
    post length=2pt
}]  (-2,0) -- (2,0);
\draw (-2,0) .. controls (-1,2) and (1,2) .. (2,0);
\filldraw [black] (-2,0) circle (2pt) node[anchor=north] {\(-l/2\)};
\filldraw [black] (2,0) circle (2pt) node[anchor=north] {\(l/2\)};
\draw (0,0) node [anchor=south] {1};
\end{tikzpicture}
\end{document}

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current15:39, 1 September 2019Thumbnail for version as of 15:39, 1 September 2019171 × 92 (7 KB)Osteologia (talk | contribs)User created page with UploadWizard

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