English

A probabilistic approach to exhaustion in the infinite-genus case

Geometric Topology 2020-09-25 v2 Algebraic Topology

Abstract

We explore the use of Costa and Farber's model for random simplicial complexes to give probabilistic evidence for exhaustion via rigid expansions on random simplicial complexes which are analogous of curve complexes. This has potential applications to action rigidity following Ivanov's meta-conjecture.

Keywords

Cite

@article{arxiv.2009.06559,
  title  = {A probabilistic approach to exhaustion in the infinite-genus case},
  author = {Noé Bárcenas and Jesús Hernández-Hernández and Ricardo Chávez-Cáliz},
  journal= {arXiv preprint arXiv:2009.06559},
  year   = {2020}
}