An So(3)-version of 2-torsion Instanton Invariants

  title={An So(3)-version of 2-torsion Instanton Invariants},
  author={Hirofumi Sasahira},
  • Hirofumi Sasahira
  • Published 2007
We construct an invariant for non-spin 4-manifolds by using 2-torsion cohomology classes of moduli spaces of instantons on SO(3)-bundles. The invariant is an SO(3)-version of Fintushel-Stern's 2-torsion instanton invariant. We show that this SO(3)-torsion invariant is non-trivial for 2CP 2 #CP 2 , while it is known that any known invariant of 2CP 2 #CP 2 coming from the Seiberg-Witten theory is trivial since 2CP 2 #CP 2 has a positive scalar curvature metric. 

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