Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces
Journal of Symbolic Computation, cilt.68, sa.P2, ss.27-60, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 68 Sayı: P2
- Basım Tarihi: 2015
- Doi Numarası: 10.1016/j.jsc.2014.09.002
- Dergi Adı: Journal of Symbolic Computation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.27-60
- Anahtar Kelimeler: Moduli spaces of flat connections, Multiple bernoulli series, Multiple zeta values
- Boğaziçi Üniversitesi Adresli: Evet
Özet
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.