Title: The intrinsic stable normal cone,
Abstract: We construct an analog of the intrinsic normal cone of Behrend-Fantechi in
the equivariant motivic stable homotopy category over a base-scheme B and
construct a fundament class in E-cohomology for any cohomology theory E in
SH(B). For affine B, a perfect obstruction theory gives rise to a virtual
fundamental class in a twisted Borel-Moore E-homology for arbitrary E. This
includes motivic cohomology (homotopy invariant) K-theory algebraic cobordism
and the oriented Chow groups of Barge-Morel and Fasel. In the case of motivic
cohomology, we recover the constructions of Behrend-Fantechi, with values in
the Chow group.