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https://research.matf.bg.ac.rs/handle/123456789/1553| Title: | Cup-length of oriented Grassmann manifolds via Gröbner bases | Authors: | Colović, Uroš A. Prvulović, Branislav |
Affiliations: | Topology | Keywords: | Cup-length;Fukaya's conjecture;Grassmann manifolds;Gröbner bases | Issue Date: | 15-Mar-2024 | Rank: | М22 | Publisher: | Elsevier | Journal: | Journal of Algebra | Abstract: | The aim of this paper is to prove a conjecture made by T. Fukaya in 2008. This conjecture concerns the exact value of the Z2-cup-length of the Grassmann manifold G˜n,3 of oriented 3-planes in Rn. Along the way, we calculate the heights of the Stiefel–Whitney classes of the canonical vector bundle over G˜n,3. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1553 | ISSN: | 00218693 | DOI: | 10.1016/j.jalgebra.2023.11.040 |
| Appears in Collections: | Research outputs |
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