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Real Root Conjecture fails for five and higher dimensional spheres

Swiatoslaw R. Gal
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Abstract

A construction of convex flag triangulations of five and higher dimensional spheres, whose h-polynomials fail to have only real roots, is given. We show that there is no such example in dimensions lower than five. A condition weaker than realrootedness is conjectured and some evidence is provided

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Swiatoslaw R. Gal. 2005-01-04. Real Root Conjecture fails for five and higher dimensional spheres. https://doi.org/10.1007/s00454-005-1171-5

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