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Exact curve counting of given word length on the once-punctured torus

Baroni, Filippo et al.
arXiv (All) · Papers
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05a0557k20-secondarycombinatoricscomputational-geometrygeometric-topologyprimary
On the once-punctured torus, we give an exact formula for the number of curves in any given mapping class group orbit of given word length. This settles a conjecture of Chas in [Cha16].
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