An instanton-invariant for 3-manifolds

  title={An instanton-invariant for 3-manifolds},
  author={Andreas Floer},
  journal={Communications in Mathematical Physics},
  • A. Floer
  • Published 1988
  • Mathematics
  • Communications in Mathematical Physics
To an oriented closed 3-dimensional manifoldM withH1(M, ℤ)=0, we assign a ℤ8-graded homology groupI*(M) whose Euler characteristic is twice Casson's invariant. The definition uses a construction on the space of instantons onM×ℝ. 
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