English

On the impossibility of four-dimensional complex-hyperbolic Einstein Dehn filling

Differential Geometry 2022-03-23 v3 Complex Variables Geometric Topology

Abstract

We show that the complex-hyperbolic Einstein Dehn filling compactification cannot possibly be performed in dimension four.

Keywords

Cite

@article{arxiv.2111.12667,
  title  = {On the impossibility of four-dimensional complex-hyperbolic Einstein Dehn filling},
  author = {Luca F. Di Cerbo and Marco Golla},
  journal= {arXiv preprint arXiv:2111.12667},
  year   = {2022}
}

Comments

Updated and corrected following the comments of the referee. To appear in Proc. Amer. Math. Soc., 15 pages