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93
Voted
RSA
2010
89views more  RSA 2010»
14 years 10 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
79
Voted
JCT
2008
70views more  JCT 2008»
15 years 9 days 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