, Volume 118, Issue 2, pp 215-240

An instanton-invariant for 3-manifolds

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Abstract

To an oriented closed 3-dimensional manifoldM withH 1(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.

Communicated by A. Jaffe