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RSA
2010
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13 years 9 months ago
Some remarks on Betti numbers of random polygon spaces
Polygon spaces like Mℓ = {(u1, · · · , un) ∈ S1 × · · · S1 ; n i=1 liui = 0}/SO(2) or they three dimensional analogues Nℓ play an important rle in geometry and topolo...
Clément Dombry, Christian Mazza
JCT
2008
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13 years 11 months ago
Bruhat order, smooth Schubert varieties, and hyperplane arrangements
The aim of this article is to link Schubert varieties in the flag manifold with hyperplane arrangements. For a permutation, we construct a certain graphical hyperplane arrangement....
Suho Oh, Alexander Postnikov, Hwanchul Yoo