The homotopy category of simply connected 4-manifolds

The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two such manifolds, however, do not coincide with the algebraic morphisms between intersection forms. Therefore the problem arises of computing the homotopy classes...

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Bibliographische Detailangaben
1. Verfasser: Baues, Hans J. 1943- (VerfasserIn)
Format: Elektronisch Tagungsbericht E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 2003
Schriftenreihe:London Mathematical Society lecture note series 297
Schlagworte:
Online-Zugang:DE-12
DE-92
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Beschreibung
Zusammenfassung:The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two such manifolds, however, do not coincide with the algebraic morphisms between intersection forms. Therefore the problem arises of computing the homotopy classes of maps algebraically and determining the law of composition for such maps. This problem is solved in the book by introducing new algebraic models of a 4-manifold. The book has been written to appeal to both established researchers in the field and graduate students interested in topology and algebra. There are many references to the literature for those interested in further reading
Beschreibung:Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:1 online resource (xi, 184 pages)
ISBN:9781107325890
DOI:10.1017/CBO9781107325890