Lipschitz Simplicial Volume of Connected Sums
Geometric Topology
2017-04-18 v1
Abstract
We prove that the locally finite simplicial volume and the Lipschitz simplicial volume are additive with respect to certain gluings of manifolds. In particular, we prove that in dimension they are additive with respect to connected sums and gluings along -injective, amenable aspherical boundary components.
Keywords
Cite
@article{arxiv.1704.04636,
title = {Lipschitz Simplicial Volume of Connected Sums},
author = {Karol Strzałkowski},
journal= {arXiv preprint arXiv:1704.04636},
year = {2017}
}
Comments
34 pages, 9 figures