The homotopy category of simply connected 4-manifolds
By: Hans Joachim Baues.
Contributors: London Mathematical Society.
Series: London Mathematical Society lecture note series ;; 297
Publisher: Cambridge University Press
Published: 2003
Place of publication: Cambridge; New York
Language: eng
Number of pages: 184
Subjects: Homotopy theory.; Four-manifolds (Topology)
Other titles: Homotopy category of simply connected four manifolds
Description: 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.
Notes: Includes bibliographical references (p. [179]-181) and index.
"With an Appendix 'On the cohomology of the category nil' by Teimuraz Pirashvili" -- On t.p.