Lipschitz Simplicial Volume of Connected Sums

Karol Strzałkowski

Published 2017-04-15Version 1

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 $\geq 3$ they are additive with respect to connected sums and gluings along $\pi_1$-injective, amenable aspherical boundary components.