English

Virtual domination of 3-manifolds II

Geometric Topology 2021-10-22 v1

Abstract

For any closed oriented 3-manifold MM with positive simplicial volume and any closed oriented 3-manifold NN, we prove that there exists a finite cover MM' of MM that admits a degree-1 map f:MMf:M'\to M, i.e. M virtually 1-dominates N. This result generalizes previous virtual domination results with closed hyperbolic domain to more general domains.

Keywords

Cite

@article{arxiv.2110.10653,
  title  = {Virtual domination of 3-manifolds II},
  author = {Hongbin Sun},
  journal= {arXiv preprint arXiv:2110.10653},
  year   = {2021}
}

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45 pages