FLAG F-VECTORS OF POLYTOPES WITH FEW VERTICES

Sarah A. Nelson
We may describe a polytope P as the convex hull of n points in space. Here we consider the numbers of chains of faces of P. The toric g-vector and CD-index of P are useful invariants for encoding this information. For a simplicial polytope P, Lee defined the winding number wk in a Gale diagram corresponding to P. He showed that wk in the Gale diagram equals gk of the corresponding polytope. In this dissertation,...
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