Embedding lens spaces in definite 4-manifolds
Geometric Topology
2019-03-05 v1
Abstract
Every lens space has a locally flat embedding in a connected sum of 8 copies of the complex projective plane and a smooth embedding in n copies of the complex projective plane for some positive integer n. We show that there is no n such that every lens space smoothly embeds in n copies of the complex projective plane.
Cite
@article{arxiv.1903.01260,
title = {Embedding lens spaces in definite 4-manifolds},
author = {Paolo Aceto and JungHwan Park},
journal= {arXiv preprint arXiv:1903.01260},
year = {2019}
}
Comments
6 pages