Rational Chow ring of the universal moduli space of semistable rank two bundles over genus two curves

Key Points

• The rational Chow ring is determined for the universal moduli space of rank 2 semistable bundles.
• Chow rings of universal Jacobians with marked Weierstrass points are obtained, adding depth to existing computations.
• This work highlights the generation of the Chow ring by specific tautological classes, illustrating new connections.
• The findings provide alternative computations relevant to previous work in the study of genus 2 cases.