The University of Michigan Combinatorics Seminar
Let G=G(m,m+p) be the Plucker embedding of the Grassmannian
of m-subspaces in the real (m+p)-dimensional space.
We consider a central projection of G into a projective space
of the same dimension as G.
Although G may be non-orientable, the topological degree
of this projection can be properly defined. Its values are
It turns out that when mp is even, the degree is independent
of the center of projection, so we call it deg G, the degree