Titlebook: Algebraic Geometry and Number Theory; In Honor of Vladimir Victor Ginzburg Book 2006 Birkhäuser Boston 2006 Kac–Moody.Prime.algebra.algebra

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Progress in Mathematicshttp://image.papertrans.cn/a/image/152614.jpg

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Solutions for the Equation of Motion,We prove that natural generating functions for enumeration of branched coverings of the pillowcase orbifold are level 2 quasimodular forms. This gives a way to compute the volumes of the strata of the moduli space of quadratic differentials.

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Superselection Rules and Symmetries,The main goal of this paper is to study properties of the iterated integrals of modular forms in the upper half-plane, possibly multiplied by . ., along geodesics connecting two cusps. This setting generalizes simultaneously the theory of modular symbols and that of multiple zeta values.

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Pillowcases and quasimodular forms,We prove that natural generating functions for enumeration of branched coverings of the pillowcase orbifold are level 2 quasimodular forms. This gives a way to compute the volumes of the strata of the moduli space of quadratic differentials.

吸气

Integrable linear equations and the Riemann-Schottky problem,We prove that an indecomposable principally polarized abelian variety . is the Jacobain of a curve if and only if there exist vectors . ≠ 0, . such that the roots ..(.) of the theta-functional equation .(. + . + .) = 0 satisfy the equations of motion of the ..

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Iterated integrals of modular forms and noncommutative modular symbols,The main goal of this paper is to study properties of the iterated integrals of modular forms in the upper half-plane, possibly multiplied by . ., along geodesics connecting two cusps. This setting generalizes simultaneously the theory of modular symbols and that of multiple zeta values.

Arb853