The winding-number conjecture for dilated simplex Ehrhart h*-vectors
Let Δrn={x∈[0,r]n:∑xi=r}\Delta_r^n=\{x\in[0,r]^n:\sum x_i=r\}Δrn={x∈[0,r]n:∑xi=r} be the (n−1)(n-1)(n−1)-dimensional simplex, and call a decorated ordered set partition ((L1)l1,…,(Lk)lk)((L_1)_{l_1},\ldots,(L_k)_{l_k})((L1)l1,…,(Lk)lk) simplicial when…