The Yamabe invariant of a class of symplectic manifolds

Abstract

We compute the Yamabe invariant for a class of symplectic 4-manifolds of general type obtained by taking the rational blowdown of Kahler surfaces. In particular, for any point on the half-Noether line we exhibit a simply connected minimal symplectic manifold for which we compute the Yamabe invariant.

References in corpus (2)

• A simply connected surface of general type with p_g=0 and K^2=2
• A note on collapse, entropy, and vanishing of the Yamabe invariant of symplectic 4-manifolds