Konstantis, Panagiotis (2021). VECTOR BUNDLES AND COHOMOTOPIES OF SPIN 5-MANIFOLDS. Homol. Homotopy Appl., 23 (1). S. 143 - 159. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1532-0081
Full text not available from this repository.Abstract
The purpose of this paper is two-fold: On the one side we would like to fill a gap on the classification of vector bundles over 5-manifolds. Therefore it will be necessary to study quaternionic line bundles over 5-manifolds which are in 1-1 correspondence to elements in the cohomotopy group pi(4)(M) = [M, S-4] of M. From results in [22, 24] this group fits into a short exact sequence, which splits into H-4(M; Z)circle plus Z(2) if M is spin. The second intent is to provide a bordism theoretic splitting map for this short exact sequence, which will lead to a Z(2)-invariant for quaternionic line bundles. This invariant is related to the generalized Kervaire semi-characteristic of [23].
Item Type: | Journal Article | ||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-565230 | ||||||||
DOI: | 10.4310/HHA.2021.v23.n1.a9 | ||||||||
Journal or Publication Title: | Homol. Homotopy Appl. | ||||||||
Volume: | 23 | ||||||||
Number: | 1 | ||||||||
Page Range: | S. 143 - 159 | ||||||||
Date: | 2021 | ||||||||
Publisher: | INT PRESS BOSTON, INC | ||||||||
Place of Publication: | SOMERVILLE | ||||||||
ISSN: | 1532-0081 | ||||||||
Language: | English | ||||||||
Faculty: | Unspecified | ||||||||
Divisions: | Unspecified | ||||||||
Subjects: | no entry | ||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/56523 |
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