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Symplectic and hyperkähler implosion. (English) Zbl 1368.53039

Ballmann, Werner (ed.) et al., Arbeitstagung Bonn 2013. In memory of Friedrich Hirzebruch. Proceedings of the meeting, Bonn, Germany, May, 22–28, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-43646-3/hbk; 978-3-319-43648-7/ebook). Progress in Mathematics 319, 81-103 (2016).
Summary: We review the quiver descriptions of symplectic and hyper-Kähler implosion in the case of \(\mathrm{SU}(n)\) actions. We give quiver descriptions of symplectic implosion for other classical groups, and discuss some of the issues involved in obtaining a similar description for hyper-Kähler implosion.
For the entire collection see [Zbl 1364.00032].

MSC:

53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry
53D20 Momentum maps; symplectic reduction
14L24 Geometric invariant theory
16G99 Representation theory of associative rings and algebras
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References:

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