Durst, Sebastian, Geiges, Hansjoerg and Kegel, Marc (2019). Handle homology of manifolds. Topology Appl., 256. S. 113 - 128. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1879-3207

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Abstract

We give an entirely geometric proof, without recourse to cellular homology, of the fact that partial derivative(2) = 0 in the chain complex defined by a handle decomposition of a given manifold. Topological invariance of the resulting 'handle homology' is a consequence of Cerf theory. (C) 2019 Elsevier B.V. All rights reserved.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Durst, SebastianUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Geiges, HansjoergUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kegel, MarcUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-152968
DOI: 10.1016/j.topol.2019.02.002
Journal or Publication Title: Topology Appl.
Volume: 256
Page Range: S. 113 - 128
Date: 2019
Publisher: ELSEVIER SCIENCE BV
Place of Publication: AMSTERDAM
ISSN: 1879-3207
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Mathematics, Applied; MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/15296

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