English

Integral foliated simplicial volume and circle foliations

Geometric Topology 2023-06-23 v2

Abstract

We show that the integral foliated simplicial volume of a connected compact oriented smooth manifold with a regular foliation by circles vanishes.

Keywords

Cite

@article{arxiv.1910.03071,
  title  = {Integral foliated simplicial volume and circle foliations},
  author = {Caterina Campagnolo and Diego Corro},
  journal= {arXiv preprint arXiv:1910.03071},
  year   = {2023}
}

Comments

24 pages, 3 figures, corrected typos, added references, added Remark 2.2, added more details about manifolds with corners, split Lemma 2.14, removed Theorem 3.1, added more details to Setup 3.2, extended Remark 3.9

R2 v1 2026-06-23T11:36:58.693Z