Goresky–MacPherson Calculus for the Affine Flag Varieties

Yun, Zhiwei

Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 473-480

Résumé

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.

Détail

DOI : 10.4153/CJM-2010-029-x

Mots-clés : 14L30, 55N91

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