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 |
| Rank: | M23 |
| 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 |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.