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.
Classifying space; Cobordism; Embedding; Homology; Smooth manifold; Spin structure; Stiefel-Whitney class; Surgery
Settore MAT/03 - Geometria
2002
Article (author)
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/28312
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact