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math.CO2026
Corrigendum to "Higher Lorentzian polynomials,...in codimension two" [International Mathematics Research Notices, Volume 2025, Issue 13, July 2025, arXiv:2208.05653]
Pedro Macias Marques, Chris McDaniel, Alexandra Seceleanu
A homogeneous bivariate -form defines an -rowed Toeplitz matrix for each between and . We use Hodge theory and Schur polynomials to prove that if the -r…
math.CO2014
Morse Theory on 1-Skeleta
Chris McDaniel
Guillemin and Zara gave necessary and sufficient conditions under which Morse theoretic techniques could be used to construct an additive basis for the equivariant cohomology of a…
math.CO2012
Generalized 1-skeleta and a lifting result
Chris McDaniel
In their paper "1-skeleta, Betti numbers, and equivariant cohomology" Guillemin and Zara described some beautiful constructions enabling them to use Morse theory on a certain class…