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Goresky–MacPherson Calculus for the Affine Flag Varieties

Published online by Cambridge University Press:  20 November 2018

Zhiwei Yun
Zhiwei Yun*
Affiliation:
Princeton University, Princeton, New Jersey 08544, USA, e-mail: [email protected]
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Abstract

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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.

Keywords

14L3055N91
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 2 , 01 April 2010 , pp. 473 - 480
Copyright
Copyright © Canadian Mathematical Society 2010

References

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