%0 Report
%D 2009
%T Families of Monads and Instantons from a Noncommutative ADHM Construction
%A Simon Brain
%A Giovanni Landi
%X We give a \\\\theta-deformed version of the ADHM construction of SU(2) instantons with arbitrary topological charge on the sphere S^4. Classically the instanton gauge fields are constructed from suitable monad data; we show that in the deformed case the set of monads is itself a noncommutative space. We use these monads to construct noncommutative `families\\\' of SU(2) instantons on the deformed sphere S^4_\\\\theta. We also compute the topological charge of each of the families. Finally we discuss what it means for such families to be gauge equivalent.
%G en_US
%U http://hdl.handle.net/1963/3478
%1 786
%2 Mathematics
%3 Mathematical Physics
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