Abstract
The intersection numbers for p spin curves of the moduli space overline{mathcal {M}}_{g,n} are considered for D_l type by a matrix model. The asymptotic behavior of the large genus g limit and large p limit are derived. The remarkable features of the cases of p= frac{1}{2}, - frac{1}{2}, -2, -3 are examined in the Laurent expansion for multiple correlation functions. The strong coupling expansions for the negative p cases are considered.
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