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https://research.matf.bg.ac.rs/handle/123456789/190| Title: | Gröbner bases for (partial) flag manifolds | Authors: | Petrović, Zoran Prvulović, Branislav Radovanović, Marko |
Affiliations: | Algebra and Mathematical Logic Topology Algebra and Mathematical Logic |
Keywords: | Borel description;Chern classes;Flag manifolds;Gröbner bases | Issue Date: | 1-Nov-2020 | Journal: | Journal of Symbolic Computation | Abstract: | For an arbitrary complex (partial) flag manifold F, a Gröbner basis for the ideal which (in the Borel picture) determines the cohomology algebra H⁎(F;Z) is obtained. This Gröbner basis is used to derive multiplication rules for a convenient additive basis of H⁎(F;Z) given in terms of Chern classes of the canonical bundles over F. The analogous Gröbner bases related to the mod 2 cohomology of real flag manifolds are also presented. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/190 | ISSN: | 07477171 | DOI: | 10.1016/j.jsc.2019.06.008 |
| Appears in Collections: | Research outputs |
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