English

The decomposition formula for Verlinde Sums

Symplectic Geometry 2018-03-20 v1

Abstract

We prove a decomposition formula for Verlinde sums (rational trigonometric sums), as a discrete counterpart to the Boysal-Vergne decomposition formula for Bernoulli series. Motivated by applications to fixed point formulas in Hamiltonian geometry, we develop differential form valued version of Bernoulli series and Verlinde sums, and extend the decomposition formula to this wider context.

Keywords

Cite

@article{arxiv.1803.06684,
  title  = {The decomposition formula for Verlinde Sums},
  author = {Yiannis Loizides and Eckhard Meinrenken},
  journal= {arXiv preprint arXiv:1803.06684},
  year   = {2018}
}

Comments

31 pages

R2 v1 2026-06-23T00:56:48.763Z