1. CJM 1997 (vol 49 pp. 1281)
|Pieri's formula via explicit rational equivalence |
Pieri's 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 Pieri's formula using Schensted insertion.
Keywords:Pieri's formula, rational equivalence, Grassmannian, Schensted insertion