Definitions of hypercomplex analytic spaces and schemes are introduced, with a canonical association to quotients of hypercomplex manifolds by finite group actions.
Mayrand, ‘Stratification of singular hyperk¨ ahler quotients’,Complex Manifolds 9 (2022), 261–284
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Coulomb branches are realized as W-Hilbert schemes of hypertoric varieties, with hyperkähler metrics given by L2 metrics on moduli spaces of modified Nahm equations involving a new hyperspherical variety.
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Hypercomplex analytic spaces and schemes
Definitions of hypercomplex analytic spaces and schemes are introduced, with a canonical association to quotients of hypercomplex manifolds by finite group actions.
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Hypertoric varieties, $W$-Hilbert schemes, and Coulomb branches
Coulomb branches are realized as W-Hilbert schemes of hypertoric varieties, with hyperkähler metrics given by L2 metrics on moduli spaces of modified Nahm equations involving a new hyperspherical variety.