Communications in Mathematical Physics

, Volume 105, Issue 1, pp 107–122 | Cite as

Instantons and jumping lines

  • Jacques Hurtubise


We study the behaviour under deformation of holomorphic bundles of rank 2 over ℙ1 (ℂ). This is then applied to the description of the moduli space\(\tilde M_n \) of framed SU(2) instantons of chargen;\(\tilde M_n \) is shown to map to ℂ n , with equidimensional fibers. We use this to provide a stratification of\(\tilde M_n \) and compute the strata explicitly to codimension 4. This then yields π1(\(\tilde M_n \))=ℤ2, and, for the standard moduli spaceMn, π1(Mn)=0 forn odd, ℤ2 forn even.


Neural Network Statistical Physic Stratification Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Jacques Hurtubise
    • 1
  1. 1.Département de MathématiquesU.Q.A.M.MontrealCanada

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