In this paper we study algebraic and geometric properties of closed oriented smooth 4-manifolds M with trivial H_2(M; Z). Moreover, we investigate the problem of embedding M in 5-space or other standard simply-connected 5-manifolds according to Barden's list [Ann. of Math. 82 (1965) 365-385]. These results are related with papers [Invent. Math. 77 (1984) 173-184; Topology 23 (1984) 257-269] of Cochran.
Embedding 4-manifolds with vanishing second homology / Cavicchioli, Alberto; F., Hegenbarth; Spaggiari, Fulvia. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - STAMPA. - 123:2(2002), pp. 313-322. [10.1016/S0166-8641(01)00198-5]
Embedding 4-manifolds with vanishing second homology
CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia
2002
Abstract
In this paper we study algebraic and geometric properties of closed oriented smooth 4-manifolds M with trivial H_2(M; Z). Moreover, we investigate the problem of embedding M in 5-space or other standard simply-connected 5-manifolds according to Barden's list [Ann. of Math. 82 (1965) 365-385]. These results are related with papers [Invent. Math. 77 (1984) 173-184; Topology 23 (1984) 257-269] of Cochran.
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