MathaiQuillen's Thom form and AtiyahHirzebruch's RiemannRoch theorem
MathaiQuillen's Thom form and AtiyahHirzebruch's RiemannRoch theorem

Guangbo Xu, Princeton University
Fine Hall 314
After Hirzebruch's generalization of the classical RiemannRoch formula, Grothendieck extended this result to a relative version. Then Atiyah and Hirzebruch gave a "differentiable analogue" of Grothendieck's theorem, which is called AtiyahHirzebruch's RiemannRoch theorem. In spite of the original topological proof, I will present another one, in a more differentialgeometric flavor, using MathaiQuillen's construction of the Thom form.