Oriented Schubert calculus in Chow–Witt rings of Grassmannians
Oriented Schubert calculus in Chow–Witt rings of Grassmannians
We apply the previous calculations of Chow-Witt rings of Grassmannians to develop an oriented analogue of the classical Schubert calculus. As a result, we get complete diagrammatic descriptions of the ring structure in Chow-Witt rings and twisted Witt groups. In the resulting arithmetic refinements of Schubert calculus, the multiplicity of …