Some results on compact Kahler manifolds with elliptic homotopy type

2022/08/15 by Su, Yang, Yang, Jianqiang
#14J35 #14J40 #55P62 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.06998

Abstract

We show some results of compact Kahler manifolds with elliptic homotopy type. In complex dimension 4 we list the Hodge diamonds of compact Kahler manifolds with elliptic homotopy type. In general dimension we obtain a partial characterization of the Hodge diamonds.

Related

• Compact Kähler manifolds with elliptic homotopy type
• Hodge decomposition theorem on compact d-Kähler manifolds
• Elliptic Theory on Manifolds with Corners: II. Homotopy classification and K-Homology
• Strongly homotopy algebras of a Kähler manifold
• Higher dimensional Calabi-Yau manifolds of Kummer type