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SPECTACLE CYCLES WITH COEFFICIENTS AND MODULAR FORMS OF HALF-INTEGRAL WEIGHT
SPECTACLE CYCLES COEFFICIENTS AND MODULAR FORMS HALF-INTEGRAL WEIGHT
2015/10/14
In this paper we present a geometric way to extend the Shintani lift from even weight cusp forms for congruence subgroups to arbitrary modular forms, in particular Eisenstein series. This is part of o...
Monotone Hurwitz numbers and the HCIZ integral I
Hurwitz numbers matrix models enumerative geometry Algebraic Geometry
2011/8/25
Abstract: In this article, we study the notion of genus expansion in the Harish-Chandra-Itzykson-Zuber matrix model. We prove that, under suitable hypotheses, each Taylor coefficient of the HCIZ free ...