The paper proves Samuel's conjecture that triple Schubert calculus coefficients lie in the semiring N[t_i - y_j], and derives Kirillov's conjecture on the positivity of skew divided difference operators.
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Graham positivity of triple Schubert calculus
The paper proves Samuel's conjecture that triple Schubert calculus coefficients lie in the semiring N[t_i - y_j], and derives Kirillov's conjecture on the positivity of skew divided difference operators.