The homotopy category of simply connected 4-manifolds

Hans-Joachim Baues

194 pages, parution le 20/05/2003

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Résumé

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.

Contents

Introduction
The homotopy category of (2,4)-complexes
The homotopy category of simply connected 4-manifolds
Track categories
The splitting of the linear extension TL
The category T Gamma and an algebraic model of CW(2,4)
Crossed chain complexes and algebraic models of tracks
Quadratic chain complexes and algebraic models of tracks
On the cohomology of the category nil

References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Hans-Joachim Baues
Parution	20/05/2003
Nb. de pages	194
Format	15 x 22,7
Couverture	Broché
Poids	275g
Intérieur	Noir et Blanc
EAN13	9780521531030
ISBN13	978-0-521-53103-0