f-Vectors of Triangulated Balls

Details f-Vectors of Triangulated Balls f-Vectors of Triangulated Balls

2009-12-10

arxiv.org/abs/0912.2091v1

Mathematics

Combinatorics

24 pages

Scientific paper

We describe two methods for showing that a vector can not be the f-vector of a homology d-ball. As a consequence, we disprove a conjectured characterization of the f-vectors of balls of dimension five and higher due to Billera and Lee. We also provide a construction of triangulated balls with various f-vectors. We show that this construction obtains all possible f-vectors of three and four dimensional balls and we conjecture that this result also extends to dimension five.

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