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Exotic finite functorial semi-norms on singular homology

Geometric Topology 2019-03-27 v1

Abstract

Functorial semi-norms on singular homology give refined "size" information on singular homology classes. A fundamental example is the l^1-semi-norm. We show that there exist finite functorial semi-norms on singular homology that are exotic in the sense that they are not carried by the l^1-semi-norm.

Keywords

Cite

@article{arxiv.1605.04093,
  title  = {Exotic finite functorial semi-norms on singular homology},
  author = {Daniel Fauser and Clara Loeh},
  journal= {arXiv preprint arXiv:1605.04093},
  year   = {2019}
}

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8 pages