TY - JOUR TI - Triple intersection formulas for isotropic Grassmannians DO - https://doi.org/doi:10.7282/T3668B7B PY - 2013 AB - A K-theoretic Pieri formula provides a convenient way to calculate the product of arbitrary Schubert classes with certain special classes in the Grothendieck ring of a homogeneous space. In this paper we calculate the triple intersection numbers of Pieri type, for Grassmannians of types B, C, and D. These can be used to quickly compute Pieri coefficients, and we hope they will lead to Pieri formulas in these cases. We also summarize part of our earlier work with Anders Buch [BR12], in which triple intersection numbers lie at the heart of a new geometric proof of Lenart’s K-theoretic Pieri formula for type A Grassmannians [Len00]. KW - Mathematics KW - Grassmann manifolds KW - Intersection theory LA - eng ER -