On a Conjectured Formula for Quiver Varieties
作者： Anders Skovsted Buch
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摘要: In A.S. Buch and W. Fulton [i>Invent. i>Math. 135 (1999), 665–687] a formula for the cohomology class of quiver variety is proved. This writes as linear combination products Schur polynomials. same paper it conjectured that all coefficients in this are non-negative, given by generalized Littlewood-Richardson rule, which states count certain sequences tableaux called factor sequences. I prove some special cases conjecture. also general conjecture follows from stronger but simpler statement, substantial computer evidence has been obtained. Finally will useful criterion recognizing
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