Implosion, contraction and Moore–Tachikawa

Author:

Dancer Andrew1ORCID,Kirwan Frances2ORCID,Martens Johan3ORCID

Affiliation:

1. Jesus College, Oxford OX1 3DW, United Kingdom

2. Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road Oxford OX2 6GG, United Kingdom

3. School of Mathematics and Maxwell Institute, University of Edinburgh, James Clerk Maxwell Building, Edinburgh EH9 3FD, United Kingdom

Abstract

We give a survey of the implosion construction, extending some of its aspects relating to hypertoric geometry from type [Formula: see text] to a general reductive group, and interpret it in the context of the Moore–Tachikawa category. We use these ideas to discuss how the contraction construction in symplectic geometry can be generalized to the hyperkähler or complex symplectic situation.

Publisher

World Scientific Pub Co Pte Ltd

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