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.

10 pages

References in corpus (4)

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