The equivariant Chow rings of quot schemes Academic Article uri icon

abstract

  • We give a presentation for the (integral) torus-equivariant Chow ring of the quot scheme, a smooth compactification of the space of rational curves of degree d in the Grassmannian. For this presentation, we refine Evain's extension of the method of Goresky, Kottwitz, and MacPherson to express the torus-equivariant Chow ring in terms of the torus-fixed points and explicit relations coming from the geometry of families of torus-invariant curves. As part of this calculation, we give a complete description of the torusinvariant curves on the quot scheme and show that each family is a product of projective spaces.

author list (cited authors)

  • Braden, T., Chen, L., & Sottile, F.

citation count

  • 2

complete list of authors

  • Braden, Tom||Chen, Linda||Sottile, Frank

publication date

  • December 2008