The index of the spin\(^c\) Dirac operator on the weighted projective space and the reciprocity law of the Fourier-Dedekind sum

DOI10.1016/j.jmaa.2004.11.009zbMath1079.58017OpenAlexW2037013029MaRDI QIDQ2566792

Yoshihiro Fukumoto

Publication date: 28 September 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.11.009

zbMATH Keywords

Dirac operatoreta invariantDedekind sum\(V\)-manifold

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (5)

A few finite trigonometric sums ⋮ GEOMETRY OF SPIN ANDSPIN^cSTRUCTURES IN THE M-THEORY PARTITION FUNCTION ⋮ Einstein metrics and Yamabe invariants of weighted projective spaces ⋮ Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums ⋮ The index of the spin\(^c\) Dirac operator on the weighted projective space and the reciprocity law of the Fourier-Dedekind sum

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