Generalized 1-skeleta and a lifting result

Details Generalized 1-skeleta and a lifting result Generalized 1-skeleta and a lifting result

2012-03-17

arxiv.org/abs/1203.3836v1

Mathematics

Combinatorics

35 pages, 11 figures, 7 tables

Scientific paper

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 1-skeleta including 1-skeleta of simple polytopes. In this paper we extend some of the notions and constructions from that paper to a larger class of 1-skeleta that includes 1-skeleta of projected simple polytopes. As an application of these ideas we prove a lifting result for 1-skeleta, which yields a characterization of 1-skeleta coming from projected simple polytopes.

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