Instantons on noncommutative toric varieties

Richard Szabo (Heriot-Watt Edinburgh)

Wednesday 24th November, 2010 16:00-17:00 204


We construct new noncommutative deformations of toric varieties by combining methods from toric geometry, isospectral deformation theory and noncommutative geometry in braided monoidal categories. We apply these techniques to the construction of a certain class of noncommutative instantons and discuss the interrelationships between their description in terms of deformed ADHM data, torsion-free modules and a noncommutative twistor correspondence.

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