New Sasaki–Einstein 5-manifolds

Abstract

By estimating the (Formula presented.) -invariants of certain log del Pezzo surfaces, we prove that closed simply connected 5-manifolds (Formula presented.) allow Sasaki-Einstein structures, where (Formula presented.) is the closed simply connected 5-manifold with (Formula presented.), (Formula presented.) is the (Formula presented.) -fold connected sum of (Formula presented.), and (Formula presented.) is the twofold connected sum of (Formula presented.). © 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.