Positivity conjecture for canonical Monsky polynomials

Let an honest triangulation be a triangulation in the sense used in the paper, and let its canonical Monsky polynomials be the associated pair of polynomials. A polynomial is positive if all its coefficients are non-negative. Positivity conjecture. The canonical Monsky polynomials of every honest triangulation are positive.

The conjecture formalizes the authors' observation that the canonical Monsky polynomials arising from honest triangulations have no negative coefficients. The supplied text does not state whether this observation has been established in general.