Multiple Zeta Values and Periods of Moduli
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MICHÈLE VERGNE Multiple Bernoulli Series and Volumes of Moduli Spaces of Flat Bundles over Surfaces
Using Szenes formula for multiple Bernoulli series, we explain how to compute Witten series associated to classical Lie algebras. Particular instances of these series compute volumes of moduli spaces of flat bundles over surfaces, and also multiple zeta values.
متن کاملMultiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces
Using Szenes formula for multiple Bernoulli series, we explain how to compute Witten series associated to classical Lie algebras. Particular instances of these series compute volumes of moduli spaces of flat bundles over surfaces, and also certain multiple zeta values.
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Using the combinatorial description of shuffle product, we prove or reformulate several shuffle product formulas of multiple zeta values, including a general formula of the shuffle product of two multiple zeta values, some restricted shuffle product formulas of the product of two multiple zeta values, and a restricted shuffle product formula of the product of n multiple zeta values.
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تاریخ انتشار 2006