Crossing the Wall : Branes vs . Bundles

  title={Crossing the Wall : Branes vs . Bundles},
  author={Emanuel Diaconescu and Gregory W. Moore},
We test a recently proposed wall-crossing formula for the change of the Hilbert space of BPS states in d = 4, N = 2 theories. We study decays of D4D2D0 systems into pairs of D4D2D0 systems and we show how the wall-crossing formula reproduces results of Göttsche and Yoshioka on wall-crossing behavior of the moduli of slope-stable holomorphic bundles over holomorphic surfaces. Our comparison shows very clearly that the moduli space of the D4D2D0 system on a rigid surface in a Calabi-Yau is not… CONTINUE READING

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Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces

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  • Math. Z. 223(1996)247
  • 1996
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