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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
Electron correlation and Fermi surface topology of NaCoO
The electronic structure of NaCoO revealed by recent photoemission
experiments shows important deviations from band theory predictions. The six
small Fermi surface pockets predicted by LDA calculations have not been
observed as the associated band fails to cross the Fermi level for
a wide range of sodium doping concentration . In addition, significant
bandwidth renormalizations of the complex have been observed. We show
that these discrepancies are due to strong electronic correlations by studying
the multi-orbital Hubbard model in the Hartree-Fock and strong-coupling
Gutzwiller approximation. The quasiparticle dispersion and the Fermi surface
topology obtained in the presence of strong local Coulomb repulsion are in good
agreement with experiments.Comment: 5 pages, 4 figures, revtex4; minor changes, to be published in Phys.
Rev. Let
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