Explicit Poincaré duality in the cohomology ring of the SU(2) character variety of a surface

Lisa Jeffrey; Aidan Lindberg; Steven Rayan

doi:10.1016/j.exmath.2020.06.003

paper

Explicit Poincaré duality in the cohomology ring of the SU(2) character variety of a surface

arXiv:2007.00196 · doi:10.1016/j.exmath.2020.06.003

Abstract

We provide an explicit description of the Poincaré dual of each generator of the rational cohomology ring of the $S U (2)$ character variety for a genus $g$ surface with central extension -- equivalently, that of the moduli space of stable holomorphic bundles of rank 2 and odd degree.

9 pages; v2: added reference; to appear in Expos. Math