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Let G be a connected reductive group over an algebraically closed field and Wbe its Weyl group. Steinberg constructed a transversal slice of the regularunipotent orbit in G. This construction was generalized to n was generalized tounipotent orbits associated to any elliptic conjugacy classes of W by He andLusztig via good minimal length elements. In this paper, we constructtransversal slices for all unipotent orbits using the good elements in theassociated braid monoid of W. As an application, we reformulate the dimensionformula of affine Springer fibers using these good elements.

Good position braid representatives and transversal slices of unipotent orbits