On totally symplectically aspherical manifolds

Luca F. Di Cerbo; Alexander Dranishnikov; Ekansh Jauhari

On totally symplectically aspherical manifolds

Symplectic Geometry 2026-07-30 v1 Algebraic Geometry Algebraic Topology Differential Geometry Geometric Topology

Authors: Luca F. Di Cerbo , Alexander Dranishnikov , Ekansh Jauhari

Abstract

We construct examples of totally symplectically aspherical Kaehler manifolds with non-trivial second homotopy group in every even dimension greater than or equal to six. In dimension four, we construct examples of totally c-symplectically aspherical near-symplectic manifolds with non-trivial second homotopy group.

Cite

@article{arxiv.2607.28763,
  title  = {On totally symplectically aspherical manifolds},
  author = {Luca F. Di Cerbo and Alexander Dranishnikov and Ekansh Jauhari},
  journal= {arXiv preprint arXiv:2607.28763},
  year   = {2026}
}

Comments

21 pages, 1 figure