The Donaldson-Thomas invariants under blowups and flops

  title={The Donaldson-Thomas invariants under blowups and flops},
  author={Jianxun Hu and Wei-Ping Li},
  • Jianxun Hu, Wei-Ping Li
  • Published 2005
  • Mathematics, Physics
  • Using the degeneration formula for Doanldson-Thomas invariants, we proved formulae for blowing up a point and simple flops. Given a smooth projective Calabi-Yau 3-fold X, the moduli space of stable sheaves on X has virtual dimension zero. Donaldson and Thomas (D-T) defined the holomorphic Casson invariant of X which essentially counts the number of sta- ble bundles on X. However, the moduli space has positive dimension and is singular in general. Making use of virtual cycle technique (see (B-F… CONTINUE READING


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