  Given a polynomial function with an isolated zero at the origin, we prove
that the local A1-Brouwer degree equals the Eisenbud-Khimshiashvili-Levine
class. This answers a question posed by David Eisenbud in 1978. We give an
application to counting nodes together with associated arithmetic information
by enriching Milnor's equality between the local degree of the gradient and the
number of nodes into which a hypersurface singularity degenerates to an
equality in the Grothendieck-Witt group.

Algebraic Topology;Algebraic Geometry