The Yamabe invariant of a class of symplectic manifolds
arXiv:1410.1236 · doi:10.1016/j.geomphys.2015.01.016
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 (5)
- A simply connected surface of general type with p_g=0 and K^2=2
- On the Moduli space of diffeomorphic algebraic surfaces
- Generalized symplectic rational blowdowns
- A note on collapse, entropy, and vanishing of the Yamabe invariant of symplectic 4-manifolds
- Smooth Structures and Einstein Metrics on $CP^2#5,6,7\bar{CP^2}$