Updated information on "Spanning trees and a conjecture of Kontsevich"
Further work on Kontsevich's conjecture, including a solution to Conjecture 5.2, appears in the paper F. Chung and C. Yang,
On polynomials of spanning trees
P. Belkale and P. Brosnan have shown in their paper
"Matroids, motives and conjecture of Kontsevich"
that Kontsevich's conjecture is