Shearing deformations of Hitchin representations and the Atiyah-Bott-Goldman symplectic form


ZEYBEK H.

GEOMETRIAE DEDICATA, 2021 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s10711-020-00588-6
  • Dergi Adı: GEOMETRIAE DEDICATA

Özet

The Hitchin component Hit(n)(S) of a closed surface S is a preferred component of the character variety X-PSLn (R)(S) consisting of homomorphisms from the fundamental group pi(1)(S) to the Lie group PSLn( R), whose elements enjoy remarkable geometric and dynamical properties. We consider a certain type of deformations of the elements of Hit(n)(S), called shearing deformations, and compute their pairing for the Atiyah-Bott-Goldman symplectic form of the character variety.