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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn038, 32 pages, doi:10.1093/imrn/rnn038 published on May 6, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

Noncommutative Families of Instantons

Giovanni Landi1,2, Chiara Pagani3, Cesare Reina4 and Walter D. van Suijlekom5

1 Dipartimento di Matematica e Informatica, Università di Trieste Via A.Valerio 12/1, 34127 Trieste, Italy
2 INFN, Sezione di Trieste, 34127 Trieste, Italy
3 Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark
4 International School for Advanced Studies, Via Beirut 2-4, 34014 Trieste, Italy
5 IMAPP, Radboud Universiteit Toernooiveld 1, 6525 ED Nijmegen, the Netherlands

Correspondence: Correspondence to be sent to: landi{at}univ.trieste.it

We construct {theta}-deformations of the classical groups Formula and Formula . Coacting on a basic instanton on a noncommutative four-sphere S4{theta}, we construct a noncommutative family of instantons of charge 1. The family is parameterized by the quantum quotient of Formula by Formula .


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