PieriS Formula Via Explicit Rational Equivalence Academic Article uri icon

abstract

  • AbstractPieris formula describes the intersection product of a Schubert cycle by a special Schubert cycle on a Grassmannian. We present a new geometric proof, exhibiting an explicit chain of rational equivalences from a suitable sum of distinct Schubert cycles to the intersection of a Schubert cycle with a special Schubert cycle. The geometry of these rational equivalences indicates a link to a combinatorial proof of Pieris formula using Schensted insertion.

published proceedings

  • Canadian Journal of Mathematics

author list (cited authors)

  • Sottile, F.

citation count

  • 11

complete list of authors

  • Sottile, Frank

publication date

  • December 1997