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From -Spin Intersection Numbers to Hodge Integrals
Generalized Kontsevich Matrix Model (GKMM) with a certain given potential is
the partition function of -spin intersection numbers. We represent this GKMM
in terms of fermions and expand it in terms of the Schur polynomials by
boson-fermion correspondence, and link it with a Hurwitz partition function and
a Hodge partition by operators in a group. Then, from a
constraint of the partition function of -spin intersection
numbers, we get a constraint for the Hodge partition function.
The constraint completely determines the Schur polynomials
expansion of the Hodge partition function.Comment: 51 pages, 1 figur
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