Geodesic
Goresky–MacPherson Calculus for the Affine Flag Varieties
Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 473-480

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DOI

We use the fixed point arrangement technique developed by Goresky and MacPherson to calculate the part of the equivariant cohomology of the affine flag variety $\mathcal{F}{{\ell }_{G}}$ generated by degree 2. We use this result to show that the vertices of the moment map image of $\mathcal{F}{{\ell }_{G}}$ lie on a paraboloid.
DOI : 10.4153/CJM-2010-029-x
Mots-clés : 14L30, 55N91 
Yun, Zhiwei. Goresky–MacPherson Calculus for the Affine Flag Varieties. Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 473-480. doi: 10.4153/CJM-2010-029-x
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     title = {Goresky{\textendash}MacPherson {Calculus} for the {Affine} {Flag} {Varieties}},
     journal = {Canadian journal of mathematics},
     pages = {473--480},
     year = {2010},
     volume = {62},
     number = {2},
     doi = {10.4153/CJM-2010-029-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-029-x/}
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