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arXiv · 2401.07920

Implosion, Contraction and Moore-Tachikawa

Andrew Dancer·Frances Kirwan·Johan Martens
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Abstract

We give a survey of the implosion construction, extending some of its aspects relating to hypertoric geometry from type $A$ 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.

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Andrew Dancer, Frances Kirwan, Johan Martens. 2024-01-15. Implosion, Contraction and Moore-Tachikawa. https://doi.org/10.1142/s0129167x24410040

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