Symplectic and Hyperkähler Implosion

Andrew Dancer; Brent Doran; Frances Kirwan; Andrew Francis Swann

doi:10.1007/978-3-319-43648-7_4

Symplectic and Hyperkähler Implosion

Andrew Dancer, Brent Doran, Frances Kirwan, Andrew Francis Swann

Department of Mathematics

Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review

3 Citations (Scopus)

Abstract

We review the quiver descriptions of symplectic and hyperkähler implosion in the case of 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 hyperkähler implosion.

Original language	English
Title of host publication	Progress in Mathematics : In memory of Friedrich Hirzebruch
Editors	W. Ballmann, C. Blohmann, G. Faltings, P. Teichner, D. Zagier
Number of pages	23
Place of publication	Basel
Publisher	Birkhäuser Verlag
Publication date	2016
Pages	81-103
ISBN (Print)	978-3-319-43646-3
ISBN (Electronic)	978-3-319-43648-7
DOIs	https://doi.org/10.1007/978-3-319-43648-7_4
Publication status	Published - 2016

Series	Progress in Mathematics
Volume	319
ISSN	0743-1643

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10.1007/978-3-319-43648-7_4

https://arxiv.org/abs/1412.0437Licence: Other

Cite this

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title = "Symplectic and Hyperk{\"a}hler Implosion",

abstract = "We review the quiver descriptions of symplectic and hyperk{\"a}hler implosion in the case of 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 hyperk{\"a}hler implosion.",

author = "Andrew Dancer and Brent Doran and Frances Kirwan and Swann, {Andrew Francis}",

year = "2016",

doi = "10.1007/978-3-319-43648-7_4",

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pages = "81--103",

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booktitle = "Progress in Mathematics",

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Symplectic and Hyperkähler Implosion. / Dancer, Andrew; Doran, Brent; Kirwan, Frances et al.
Progress in Mathematics: In memory of Friedrich Hirzebruch. ed. / W. Ballmann; C. Blohmann; G. Faltings; P. Teichner; D. Zagier. Basel: Birkhäuser Verlag, 2016. p. 81-103 (Progress in Mathematics, Vol. 319).

Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review

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AU - Doran, Brent

AU - Kirwan, Frances

AU - Swann, Andrew Francis

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EP - 103

BT - Progress in Mathematics

A2 - Ballmann, W.

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A2 - Teichner, P.

A2 - Zagier, D.

PB - Birkhäuser Verlag

CY - Basel

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Symplectic and Hyperkähler Implosion

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