Mathematics – Number Theory
Scientific paper
2006-05-29
Mathematics
Number Theory
12 pages, 3 figures
Scientific paper
This note defines a family of Laurent polynomials (indexed in the rational
projective line) which generalize the Markoff numbers and relate to the
character variety of the one-cusped torus. We describe which monomials appear
in each polynomial and prove all the coefficients are positive integers. We
also conjecture a generalization of that positivity result.
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