Geometry & Topology

$h$–cobordisms between 1–connected 4–manifolds

Matthias Kreck

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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.

Article information

Source
Geom. Topol., Volume 5, Number 1 (2001), 1-6.

Dates
Received: 20 October 2000
Revised: 9 January 2001
Accepted: 12 January 2001
First available in Project Euclid: 21 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.gt/1513882982

Digital Object Identifier
doi:10.2140/gt.2001.5.1

Mathematical Reviews number (MathSciNet)
MR1812433

Zentralblatt MATH identifier
1002.57072

Subjects
Primary: 57R80: $h$- and $s$-cobordism
Secondary: 57N13: Topology of $E^4$ , $4$-manifolds [See also 14Jxx, 32Jxx] 57Q20: Cobordism 55N45: Products and intersections

Keywords
4–manifolds smooth $h$–cobordisms surgery

Citation

Kreck, Matthias. $h$–cobordisms between 1–connected 4–manifolds. Geom. Topol. 5 (2001), no. 1, 1--6. doi:10.2140/gt.2001.5.1. https://projecteuclid.org/euclid.gt/1513882982


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