Stability Of The Parabolic Poincaré Bundle

Suratno Basu, Indranil Biswas, Krishanu Dan

Published 2017-12-23Version 1

Given a compact Riemann surface $X$ and a moduli space $M_{\alpha}(\Lambda)$ of parabolic stable bundles on it of fixed determinant of complete parabolic flags, we prove that the Poincar\'e parabolic bundle on $X\times M_{\alpha}(\Lambda)$ is parabolic stable with respect to a natural polarization on $X\times M_{\alpha}(\Lambda)$.