Complex ADHM equations, sheaves on P and quantum instantons
نویسندگان
چکیده
We use a complex version of the celebrated Atiyah-Hitchin-DrinfeldManin matrix equations to construct admissible torsion-free sheaves on P3 and complex quantum instantons over our quantum Minkowski space-time. We identify the moduli spaces of various subclasses of sheaves on P3, 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 P3.
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