215 citations
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math.GT2008
On certain enumeration problems in two-dimensional topology
Vladimir Turaev
We announce a solution to several enumeration problems in topology of surfaces. This includes an enumeration of homotopy classes of sections of locally trivial fiber bundles over s…
math.GT2007
Billiards in L-shaped tables with barriers
Matt Bainbridge
We compute the volumes of the eigenform loci in the moduli space of genus two Abelian differentials. From this, we obtain asymptotic formulas for counting closed billiards paths in…