Implosions and hypertoric geometry
Andrew Dancer, Frances Kirwan, Andrew Swann
TL;DR
This paper investigates the structure of the universal hyperKähler implosion for SU(n), revealing its connection to hypertoric varieties and exploring a gauge theoretic perspective.
Contribution
It introduces a hypertoric variety within the hyperKähler implosion framework and discusses a gauge theoretic approach, advancing understanding of hyperKähler geometry.
Findings
Universal hyperKähler implosion contains a hypertoric variety.
Hypertoric variety described via quivers.
Gauge theoretic approach to hyperKähler implosion.
Abstract
The geometry of the universal hyperKaehler implosion for SU(n) is explored. In particular, we show that the universal hyperKaehler implosion naturally contains a hypertoric variety described in terms of quivers. Furthermore, we discuss a gauge theoretic approach to hyperKaehler implosion.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory