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Punctures and p-spin curves from matrix models III. Dl type and logarithmic potential

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arxiv 2111.13793 v2 pith:IMJB5IGK submitted 2021-11-27 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords casesconsideredcurveslargelimitmatrixtypeasymptotic
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The intersection numbers for p spin curves of the moduli space M(g,n) are considered for D 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= 1/2, - 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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  1. The HOMFLY-PT polynomial and HZ factorisation

    math-ph 2024-12 conditional novelty 6.0 of 10

    The HOMFLY-PT and Kauffman polynomials satisfy a previously torus-only relation for several infinite hyperbolic knot families that have factorised Harer-Zagier transforms.

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