We extend the theory of complex-oriented cohomology theories to the setting of A-equivariant homotopy theory, where A is a compact metrizable abelian group. We identify the homotopy groups of the A-equivariant complex bordism spectrum with the A-equivariant Lazard ring, and we factor the chromatic character map via geometric fixed points through p-adic equivariant Borel–Lubin–Tate theory.

We develop an algorithm that computes the Reidemeister Torsion of the geometric realization of a simplicial set. We compute the Reidemeister Torsions of the Poincare Homology 3-Sphere.