On irregular Sasaki-Einstein metrics in dimension 5

Abstract

We show that there are no irregular Sasaki-Einstein structures on rational homology 5-spheres. On the other hand, using K-stability we prove the existence of continuous families of non-toric irregular Sasaki-Einstein structures on odd connected sums of $S^2\times S^3$.

14 pages

References in corpus (7)

• Sasaki-Einstein Manifolds and Volume Minimisation
• Sasaki-Einstein metrics and K-stability
• Uniqueness and examples of compact toric Sasaki-Einstein metrics
• K-Stability for Fano Manifolds with Torus Action of Complexity One
• Non-complete rational T-varieties of complexity one
• New Example of Infinite Family of Quiver Gauge Theories
• Rational Complexity-One T-Varieties are Well-Poised

Cited by in corpus (1)

• Simply connected Sasaki-Einstein rational homology 5-spheres