English

Multicomplexes, bounded cohomology and additivity of simplicial volume

Algebraic Topology 2015-12-08 v3 Geometric Topology

Abstract

We discuss some additivity properties of the simplicial volume for manifolds with boundary: we give proofs of additivity for glueing amenable boundary components and of superadditivity for glueing amenable submanifolds of the boundary, and we discuss doubling of 3-manifolds.

Keywords

Cite

@article{arxiv.math/0109057,
  title  = {Multicomplexes, bounded cohomology and additivity of simplicial volume},
  author = {Thilo Kuessner},
  journal= {arXiv preprint arXiv:math/0109057},
  year   = {2015}
}

Comments

B. Korean Math. Soc. 2015, Vol. 52, No. 6, 1855-1899