Complex ADHM equations, sheaves on P^3 and quantum instantons

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dc.creatorFrenkel, Igor
dc.creatorJardim, Marcos
dc.date2004-08-02
dc.date.accessioned2026-07-07T05:10:57Z
dc.date.available2026-07-07T05:10:57Z
dc.descriptionWe use a complex version of the celebrated Atiyah-Hitchin-Drinfeld-Manin matrix equations to construct admissible torsion-free sheaves on $\p^3$ and complex quantum instantons over our quantum Minkowski space-time. We identify the moduli spaces of various subclasses of sheaves on $\p^3$, and prove their smoothness. We also define the Laplace equation in the quantum Minkowski space-time, study its solutions and relate them to the admissibility condition for sheaves on $\p^3$.
dc.description57 pages, sequel to math.AG/0205118
dc.identifierhttps://arxiv.org/abs/math/0408027
dc.identifierhttp://arxiv.org/abs/math/0408027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72086
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.titleComplex ADHM equations, sheaves on P^3 and quantum instantons
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