Reidemeister Torsion of Hitchin Representations of PSp(2n)(R)


Sozen Y.

International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Kos, Greece, 19 - 25 September 2012, vol.1479, pp.570-573 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1479
  • Doi Number: 10.1063/1.4756196
  • City: Kos
  • Country: Greece
  • Page Numbers: pp.570-573

Abstract

We define Reidemeister torsion associated to a closed oriented Riemann surface Sigma of genus at least 2 and with coefficients in the adjoint representation of Hitchin representations of PSp(2n)(R), n >= 1. Using symplectic chain complex, we present a volume element for Hitchin component of Hom(pi(1)(Sigma), PSp(2n)(R))/PSp(2n)(R) for n >= 1.