Torus orbit closures and 1-strip-less tableaux

Abstract

We compare two formulas for the class of a generic torus orbit closure on the Grassmannian, due to Klyachko and Berget-Fink. The naturally emerging combinatorial objects are semi-standard fillings we call 1-strip-less tableaux.

arXiv comment20 pages, revised after referee comments. Detailed appendix added (formerly lemma 6). Some details and examples added to proofs, Proposition 11 corrected