Combinatorial Curve Neighborhoods for the Affine Flag Manifold of Type A1
نویسنده
چکیده
Let X be the affine flag manifold of Lie type A1. Its moment graph encodes the torus fixed points (which are elements of the infinite dihedral group D∞) and the torus stable curves in X. Given a fixed point u ∈ D∞ and a degree d = (d0, d1) ∈ Z≥0, the combinatorial curve neighborhood is the set of maximal elements in the moment graph of X which can be reached from u using a chain of curves of total degree ≤ d. In this paper we give a formula for these elements, using combinatorics of the affine root system of type A1.
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تاریخ انتشار 2015