2016/11/24 by Ortiz-Rodríguez, Adriana, Sánchez-Bringas, Federico
#05A19 #53A05 #57R52 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1611.08226
The interaction between combinatorics and algebraic and differential geometry is very strong. While researching a problem of Hessian topology, we came across a series of identities of binomial coefficients, which are useful for proving a topological property of certain spaces whose elements are graphs of a class of hyperbolic polynomials. These identities are proven by different methods in combinatorics.