Some closed 4-manifolds with exotic differentiable structure

S. Akbulut: Fake 4 — manifolds, preprint 1982
Google Scholar
M.F. Atiyah and L. Smith: Compact Lie groups and the stable homotopy of spheres, Topology 13 (1974), 135–142
Article MathSciNet MATH Google Scholar
M.F. Atiyah: Talk at the Bonner Mathematische Arbeitstagung 1982, Proceedings Bonn 1982
Google Scholar
H.J. Baues: Obstruction theory, on homotopy classification of maps, Springer L.N. 628 (1977)
Google Scholar
S. Cappell and J. Shaneson: Some new 4-manifolds, Ann. Math. 104 (1976), 61–72
Article MathSciNet MATH Google Scholar
S.K. Donaldson: Talk at the Aarhus conference on alg. topology 1982
Google Scholar
M. Freedman: A fake S³ × IR, Ann. Math. 110 (1979), 177–201
Article Google Scholar
M. Freedman: The topology of 4-dimensional manifolds, J. diff. Geo. 17 (1982), 357–453
MathSciNet MATH Google Scholar
F. Hirzebruch: Involutionen auf Mannigfaltigkeiten, in Proc. of the conf. on transf. groups, tulane, Ed. Mostert, Springer Verlag (1968)
Google Scholar
F. Hirzebruch, W. Neumann, S. Koh: Differentiable manifolds and quadratic forms, Marcel Dekker, New York 1971
MATH Google Scholar
M. Kreck: Zur Klassifikation kompakter Mannigfaltigkeiten, Vorlesung, Mainz 1982
Google Scholar
J. Milnor and D. Husemoller: Symmetric bilinear forms, Springer 1973
Google Scholar
E. Ossa: Lie groups as framed manifolds, Topology 21 (1982), 315–322
Article MathSciNet MATH Google Scholar
F. Quinn: Ends of maps. III: dimensions 4 and 5, J.diff.Geo. 17 (1982), 503–521
MathSciNet MATH Google Scholar
V.A. Rohlin: A new result in the theory of 4-dimensional manifolds (russian), Dokl. Akad. Nauk SSSR 84 (1952) 221–224
MathSciNet Google Scholar
L. Siebenmann: Amorces de la chirurgie en dimension quatre: un S³ × R exotique (d'après Casson and Freedman) Sem. Bourbaki 1978/79, 536
Google Scholar
L. Siebenmann: La conjecture de Poincaré topologique en dimension 4 (d'après M. Freedman), Sem. Bourbaki 1981/82, 588
Google Scholar
L. Siebenmann: Talk at the Bonner Mathematische Arbeitstagung 1982, Proceedings Bonn 1982
Google Scholar
E. Spanier: The homology of Kummer manifolds, Proc.A.M.S. 7 (1956) 155–160
Article MathSciNet MATH Google Scholar
R. Stong: Notes on cobordism theory, Princeton University Press (1968)
Google Scholar
P. Vogel: Simply connected 4-manifolds, Sem notes alg. top. 1, Aarhus 1982, 116–120
Google Scholar
C.T.C. Wall: On simply connected 4-manifolds, Proc. London M.S. 39 (1964) 141–149
MathSciNet MATH Google Scholar

Download references

Author information

Authors and Affiliations

Fachbereich Mathematik der, Universität Mainz, West Germany
M. Kreck

Authors

M. Kreck
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Ib H. Madsen Robert A. Oliver

Additional information

Meinem Vater zum 75. Geburtstag gewidmet

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Kreck, M. (1984). Some closed 4-manifolds with exotic differentiable structure. In: Madsen, I.H., Oliver, R.A. (eds) Algebraic Topology Aarhus 1982. Lecture Notes in Mathematics, vol 1051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075570

Download citation

DOI: https://doi.org/10.1007/BFb0075570
Published: 16 September 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12902-8
Online ISBN: 978-3-540-38782-4
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Some closed 4-manifolds with exotic differentiable structure

Access this chapter

Preview

References