English

A small closed convex projective 4-manifold via Dehn filling

Geometric Topology 2021-12-24 v3

Abstract

In order to obtain a closed orientable convex projective four-manifold with small positive Euler characteristic, we build an explicit example of convex projective Dehn filling of a cusped hyperbolic four-manifold through a continuous path of projective cone-manifolds.

Keywords

Cite

@article{arxiv.1910.11649,
  title  = {A small closed convex projective 4-manifold via Dehn filling},
  author = {Gye-Seon Lee and Ludovic Marquis and Stefano Riolo},
  journal= {arXiv preprint arXiv:1910.11649},
  year   = {2021}
}

Comments

29 pages, 8 figures. To appear in Publicacions Matem\`atiques