h–cobordisms between 1–connected 4–manifolds

In this note we classify the diffeomorphism classes rel. boundary of smooth $h$ –cobordisms between two fixed 1–connected 4–manifolds in terms of isometries between the intersection forms.

Keywords

4–manifolds, smooth $h$–cobordisms, surgery

Mathematical Subject Classification 2000

Primary: 57R80

Secondary: 57N13, 57Q20, 55N45

References

Forward citations

Publication

Received: 20 October 2000

Revised: 9 January 2001

Accepted: 12 January 2001

Published: 14 January 2001

Proposed: Robion Kirby

Seconded: Ronald Stern, Tomasz Mrowka

Authors

Matthias Kreck
Mathematisches Institut Universität Heidelberg 69120 Heidelberg Germany	Mathematisches Forschungsinstitut Oberwolfach 77709 Oberwolfach Germany

Volume 5, issue 1 (2001)

Matthias Kreck