Math @ Duke

Publications [#145251] of Benoit Charbonneau
Papers Published
 Benoit Charbonneau and Jacques Hurtubise, Calorons, Nahm's equations on S^1 and bundles over P^1xP^1,
Communications in Mathematical Physics, vol. 280 no. 2
(2008),
pp. 315349, ISSN 00103616 [MR2395473], [s0022000804687]
(last updated on 2009/12/14)
Abstract: The moduli space of solutions to Nahm's equations of rank (k,k+j) on the circle, and hence, of SU(2) calorons of charge (k,j), is shown to be equivalent to the moduli of holomorphic rank 2 bundles on P^1xP^1 trivialized at infinity with c_2=k and equipped with a flag of degree j along P^1x0. An explicit matrix description of these spaces is given by a monad construction.


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