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math.CO2025
An Intersection Product for the Polytope Algebra
Thomas Wannerer
We introduce a new multiplication for the polytope algebra, defined via the intersection of polytopes. After establishing the foundational properties of this intersection product,…
math.CO2023★ 2 cited
Dually Lorentzian Polynomials
Julius Ross, Hendrik Süß, Thomas Wannerer
We introduce and study a notion of dually Lorentzian polynomials, and show that if is non-zero and dually Lorentzian then the operator \[s(\partial_{x_1},\ldots,\partial_{x_n})…