3-manifolds with more than one abelian embedding
Geometric Topology
2025-06-05 v2
Abstract
We construct 3-manifolds which have at least two inequivalent embeddings such that both complementary regions have abelian fundamental group.
Keywords
Cite
@article{arxiv.2506.01186,
title = {3-manifolds with more than one abelian embedding},
author = {Jonathan A. Hillman},
journal= {arXiv preprint arXiv:2506.01186},
year = {2025}
}
Comments
v2 rewritten to delete overclaim (re $\beta\leq2$) and give new example with 5 inequivalent abelian embeddings