Publications [#145251] of Benoit Charbonneau

Papers Published

1. 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. 315--349, ISSN 0010-3616 [MR2395473], [s00220-008-0468-7]
   (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.