In this paper we study algebraic and geometric properties of closed oriented smooth 4-manifolds M with . 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 / Alberto Cavicchioli, Friedrich Hegenbarth, Fulvia Spaggiari.. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 123:2(2002), pp. 313-322.
Embedding 4-manifolds with vanishing second homology
Friedrich Hegenbarth;
2002
Abstract
In this paper we study algebraic and geometric properties of closed oriented smooth 4-manifolds M with . 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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