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A noncommutative family of instantons

Pagani, C (Copenhagen)
Thursday 21 December 2006, 14:30-15:00

Seminar Room 1, Newton Institute


We construct $\theta$-deformations $A(SL_\theta(2,\mathbb{H}))$, $A(Sp_\theta(2))$ of the corresponding classical groups.

Starting from the basic instanton on a noncommutative four-sphere $S^4_\theta$, we construct a noncommutative family of instantons parametrized by the quantum quotient of $A(SL_\theta(2,\mathbb{H}))$ by $A(Sp_\theta(2))$.

Based on joint work with Giovanni Landi (University of Trieste), Cesare Reina (SISSA, Trieste), Walter van Suijlekom (MPI, Bonn).


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