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On spin alternating group actions on spin 4-manifolds

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Abstract

LetX be a smooth, closed, connected spin 4-manifoldwith b1(X ) = 0 and signature (X ). In this paper we use Seiberg-Witten theory to prove that ifX admits a spin alternating A4action, then b+2 (X ) j (X )j=8 + 3 under some non-degeneracyconditions.

참고문헌 (12)

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  7. "The Seiberg-Witten equations and equivariante-invariants" (2001)
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  9. "Problems in low-dimensional topology" (1997)
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  11. "Linear Representations of Finite Groups" (1977), Springer-Verlag
  12. "The level of real projective spaces", pp.674~ (1989)

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