Monopole classes and Perelman's invariant of four-manifolds

Abstract

We calculate Perelman's invariant for compact complex surfaces and a few other smooth four-manifolds. We also prove some results concerning the dependence of Perelman's invariant on the smooth structure.

arXiv comment10 pages

References in corpus (6)

• Ricci flow with surgery on three-manifolds
• Einstein metrics and smooth structures
• Minimality and irreducibility of symplectic four-manifolds
• Entropies, volumes, and Einstein metrics
• Einstein metrics and the number of smooth structures on a four-manifold
• Monopole classes and Einstein metrics

Cited by in corpus (2)

• A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds
• Perelman's invariant and collapse via geometric characteristic splittings