Geometry & Topology, Vol. 5 (2001) Paper no. 1, pages 1--6.

h-cobordisms between 1-connected 4-manifolds

Matthias Kreck

Abstract. 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

AMS subject classification. Primary: 57R80. Secondary: 57N13, 57Q20, 55N45.

DOI: 10.2140/gt.2001.5.1

E-print: arXiv:math.GT/0101163

Submitted to GT on 20 October 2000. (Revised 9 January 2001.) Paper accepted 12 January 2001. Paper published 14 January 2001.

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Matthias Kreck
Mathematisches Institut, Universitat Heidelberg
69120 Heidelberg, Federal Republic of Germany
and
Mathematisches Forschungsinstitut Oberwolfach
77709 Oberwolfach, Federal Republic of Germany

Email: kreck@mathi.uni-heidelberg.de

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