English

Self-replicating 3-manifolds

Geometric Topology 2021-07-12 v1

Abstract

In this paper we explore the topological properties of self-replicating, 3-dimensional manifolds, which are modeled by idempotents in the (2+1)-cobordism category. We give a classification theorem for all such idempotents. Additionally, we characterize biologically interesting ways in which self-replicating 3-manifolds can embed in R3\mathbb{R}^3.

Keywords

Cite

@article{arxiv.2107.04528,
  title  = {Self-replicating 3-manifolds},
  author = {Ryan Blair and Ricky Lee},
  journal= {arXiv preprint arXiv:2107.04528},
  year   = {2021}
}

Comments

10 pages, 3 figures

R2 v1 2026-06-24T04:02:52.246Z