F-polynomials & Newton polytopes

Abstract

We provide an effective algorithmic method for computation of Gross-Keel-Hacking-Kontsevich potential, Fpolynomials and Bernstein-Kazhdan decoration function and it’s complexity bounds. For simply laced Lie algebras we make conjecture and provide experimental evidence that Newton polytopes for Gross-Keel-Hacking-Kontsevich potential do not contain any interior lattice points.