Groebner bases for real flag Manifold F(1, 1, 1, m − 3)

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Published: Mar 28, 2025
DOI: https://doi.org/10.60787/eaued-jms.vol1no1.11
Keywords:
Groebner basis, cohomology, flag manifolds, dual Stiefel-Whitney classes

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Opeoluwa L. Ogundipe
Department of Mathematics, University of Ibadan, Ibadan. Nigeria.
 Deborah Olayide Ajayi
Department of Mathematics and Computing Science Education, Emmanuel Alayande University of Education, Oyo, Nigeria

Abstract

The cohomology of the real flag manifold is known to be isomorphic to a polynomial algebra modulo certain ideal. In this paper, the Groebner bases for these ideals are obtained in the case of the real flag manifold . We further apply the reduced Groebner bases to compute the height of the cohomology classes and determine which of the classes vanish.


   

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How to Cite
Ogundipe, O. L., & Ajayi, DeborahO. (2025). Groebner bases for real flag Manifold F(1, 1, 1, m − 3). Emmanuel Alayande University of Education Journal of Multidisciplinary Studies (EAUED-JMS) , 1(1), 139-148. https://doi.org/10.60787/eaued-jms.vol1no1.11
Issue
Vol. 1 No. 1 (2024)
Section
Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Ogundipe, O. L., & Ajayi, DeborahO. (2025). Groebner bases for real flag Manifold F(1, 1, 1, m − 3). Emmanuel Alayande University of Education Journal of Multidisciplinary Studies (EAUED-JMS) , 1(1), 139-148. https://doi.org/10.60787/eaued-jms.vol1no1.11

References

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