Implosion, Contraction and Moore-Tachikawa

Fuente: arXiv
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Autori principali: Dancer, Andrew, Kirwan, Frances, Martens, Johan
Natura: Preprint
Pubblicazione: 2024
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author Dancer, Andrew
Kirwan, Frances
Martens, Johan
author_facet Dancer, Andrew
Kirwan, Frances
Martens, Johan
contents 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 hyperkähler or complex symplectic situation.
format Preprint
id arxiv_https___arxiv_org_abs_2401_07920
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Implosion, Contraction and Moore-Tachikawa
Dancer, Andrew
Kirwan, Frances
Martens, Johan
Symplectic Geometry
Algebraic Geometry
Differential Geometry
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 hyperkähler or complex symplectic situation.
title Implosion, Contraction and Moore-Tachikawa
topic Symplectic Geometry
Algebraic Geometry
Differential Geometry
url https://arxiv.org/abs/2401.07920