ON GRÖBNER BASES FOR FLAG MANIFOLDS F(1, 1, … , 1, n)
2012 ◽
Vol 12
(03)
◽
pp. 1250182
Keyword(s):
The Real
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The knowledge of cohomology of a manifold has shown to be quite relevant in various investigations: the question of vector fields, immersion and embedding dimension, and recently even in topological robotics. The method of Gröbner bases is applicable when the cohomology of the manifold is a quotient of a polynomial algebra. The mod 2 cohomology of the real flag manifold F(n1, n2, …, nr) is known to be isomorphic to a polynomial algebra modulo a certain ideal. Reduced Gröbner bases for these ideals are obtained in the case of manifolds F(1, 1, …, 1, n) including the complete flag manifolds (n = 1).
2013 ◽
pp. 186-198
◽
Keyword(s):
Keyword(s):
2011 ◽
Vol 90
(104)
◽
pp. 23-46
◽
2018 ◽
2010 ◽
Vol 153
(2)
◽
pp. 363-396
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