Implosion, Contraction and Moore-Tachikawa
Symplectic Geometry
2024-08-22 v1 Algebraic Geometry
Differential Geometry
Abstract
We give a survey of the implosion construction, extending some of its aspects relating to hypertoric geometry from type 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 generalised to the hyperk\"ahler or complex symplectic situation.
Keywords
Cite
@article{arxiv.2401.07920,
title = {Implosion, Contraction and Moore-Tachikawa},
author = {Andrew Dancer and Frances Kirwan and Johan Martens},
journal= {arXiv preprint arXiv:2401.07920},
year = {2024}
}
Comments
23 Pages. To appear in Int. J. Math. (special issue in honour of Oscar Garcia Prada)