Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/192
Title: Characteristic rank of canonical vector bundles over oriented Grassmann manifolds G˜<inf>3,n</inf>
Authors: Petrović, Zoran 
Prvulović, Branislav 
Radovanović, Marko 
Affiliations: Algebra and Mathematical Logic 
Topology 
Algebra and Mathematical Logic 
Keywords: Characteristic rank;Cup-length;Grassmann manifold;Stiefel–Whitney class
Issue Date: 1-Oct-2017
Journal: Topology and its Applications
Abstract: 
We determine the characteristic rank of the canonical oriented vector bundle over G˜3,n for all n≥3, and as a consequence, we obtain the affirmative answer to a conjecture of Korbaš and Rusin. As an application of this result, we calculate the Z2-cup-length for a new infinite family of manifolds G˜3,n. This result confirms the corresponding claim of Fukaya's conjecture.
URI: https://research.matf.bg.ac.rs/handle/123456789/192
ISSN: 01668641
DOI: 10.1016/j.topol.2017.08.010
Appears in Collections:Research outputs

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