Algebraic cobordisms of a Pfister quadric, by Alexander Vishik and Nobuaki Yagita

In this article we compute the ring of algebraic cobordisms of a Pfister quadric. It is one of the few examples of non-cellular varieties where such computation was performed. We give separate computations for the ring of (pure) algebraic cobordism of M.Levine-F.Morel, and for the pure part of MGL-cohomology of V.Voevodsky, and show that the results agree.


Alexander Vishik <vishik@mccme.ru, vishik@ihes.fr>
Nobuaki Yagita <yagita@mx.ibaraki.ac.jp>