paper

Integral foliated simplicial volume and circle foliations

arXiv:1910.03071 · doi:10.1142/S1793525321500266

Abstract

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

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

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