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arxiv: 1008.0263 · v2 · pith:LUOWR7FXnew · submitted 2010-08-02 · 🧮 math.AC

Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings

classification 🧮 math.AC
keywords formulaseriesbernoulligivemultiplewallbundlescrossing
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Using multiple Bernoulli series, we give a formula in the spirit of Euler MacLaurin formula. We also give a wall crossing formula and a decomposition formula. The study of these series is motivated by formulae of E.Witten for volumes of moduli spaces of flat bundles over a surface.

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