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Diffeomorphism groups of connected sum of three products of spheres


SO Ajala

Abstract



In this paper, we will prove that the order of the group ~π0(M3+(p,q) is 3 times the order of the group πpSO(q +1)⊕ πpSO (p+1) )⊕ θ p+q+1 where p+3(p,q)Diff+ (Sp x Sq # Sp x Sq # Sp x Sq.). Diff+(M) is the diffeomorphism of M onto itself which induces identity homomorphism on homology.

JONAMP Vol. 11 2007: pp. 39-46

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eISSN: 1116-4336