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Special Classes of Closed Four–Manifolds
Cavicchioli, Alberto
Hegenbarth, Friedrich
Repovš, Dušan
2001
Abstract
In this paper we present several results and state some
open problems on the classification of topological and geometric
structures of closed connected oriented (smooth) four–manifolds.
In particular, we discuss many interesting classes of closed four-manifolds satisfying additional properties, that is, spin manifolds,
manifolds with special homology (resp. homotopy), exact mani-folds, geometric manifolds, and smooth manifolds. The results,
some of them due to the authors and their collaborators, are obtained by using methods and techniques from algebraic and differential topology, and homological algebra.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Alberto Cavicchioli, Friedrich Hegenbarth and Dušan Repovš, "Special classes of closed four-manifolds", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 77–103.
Languages
en
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