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The Intersection of Opposed Big Cells in The Real Flag Variety of Type G2
Authors:Marsh  R J; Rietsch  K
Institution:Department of Mathematics and Computer Science, University of Leicester University Road, Leicester LE1 7RH; e-mail: R.Marsh{at}mcs.le.ac.uk
Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences Wilberforce Road, Cambridge CB3 0WB; e-mail: rietsch{at}dpmms.cam.ac.uk
Abstract:We compute the Euler characteristics of the individual connectedcomponents of the intersection of two opposed big cells in thereal flag variety of type G2, verifying a conjecture of Rietsch6]. 2000 Mathematical Subject Classification: primary 14M15; secondary20G20.
Keywords:real flag variety  G2  big cells  Euler characteristics  Chamber Ansatz
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