English

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

Commutative Algebra 2010-12-22 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1008.0263,
  title  = {Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings},
  author = {Arzu Boysal and Michele Vergne},
  journal= {arXiv preprint arXiv:1008.0263},
  year   = {2010}
}

Comments

37 pages, 7 figures

R2 v1 2026-06-21T15:55:51.151Z