Let
be the affine flag
manifold of Lie type
.
Its moment graph encodes the torus fixed points (which are elements of the infinite dihedral group
) and the torus
stable curves in
.
Given a fixed point
and a degree ,
the combinatorial curve neighborhood is the set of maximal elements in the moment graph of
which can be reached
from
using a chain of
curves of total degree .
In this paper we give a formula for these elements, using combinatorics of the affine root system
of type
.
Keywords
affine flag manifolds, moment graph, curve neighborhood