islands

a project exploring the Nahm equations, monopoles & more

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Welcome to our website. In time this site will grow to cover a number of related topics - such as the self-duality equations, integrable systems, monopoles and the Nahm transform.

At the moment though it is a resource for all levels on the Nahm equations.

You can see a summary of the original papers of Werner Nahm here, and also a bibliography.

To begin exploring, click on a section in the image below. Each page has up to three levels - beach, hill and mountain, with beach being the easiest, hill medium-level and mountain the most advanced. Many of the pages have exercises, and the reader is encouraged to try and solve these before looking at the solutions provided.

NxNmatricesMonopolesCurves and Lax pairsQuaternionsMoment map for physicistsSelf-duality and curvature formsGeneralized Euler equationsThe Nahm EquationsNewmain.png
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About Islands

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This project is funded in part by the Science Foundation Ireland and the National Development Plan.

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This page was last modified on 3 October 2014, at 05:22. - This page has been accessed 126,836 times. - About Islands