Durst, Sebastian (2016). Round handle decompositions of 1-connected 5-manifolds. Expo. Math., 34 (1). S. 43 - 62. JENA: ELSEVIER GMBH, URBAN & FISCHER VERLAG. ISSN 1878-0792

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Abstract

An n-dimensional round k-handle is the product of a circle and an ordinary (n - 1)-dimensional k-handle. This exposition gives an introduction to the topic of round handles, exploring several aspects like the existence of round handle decompositions and their manipulation as well as some applications. As a driving example we show how to explicitly construct minimal round handle decompositions of closed, oriented, simply-connected 5-manifolds, also presenting more specialised results of Shkol'nikov and techniques of Fomenko and Sharko along the way. (C) 2015 Elsevier GmbH. All rights reserved.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Durst, SebastianUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-290458
DOI: 10.1016/j.exmath.2015.07.001
Journal or Publication Title: Expo. Math.
Volume: 34
Number: 1
Page Range: S. 43 - 62
Date: 2016
Publisher: ELSEVIER GMBH, URBAN & FISCHER VERLAG
Place of Publication: JENA
ISSN: 1878-0792
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MORSE-SMALE FLOWS; EXISTENCE; MANIFOLDSMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/29045

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