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arXiv · 2302.14759

An elementary proof of Novikov's theorem

Samuel Ranz·Lauran Toussaint
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Abstract

Novikov's theorem states that, given a taut (codimension-one) foliation on a closed 3-manifold M, the fundamental group of any leaf injects into the fundamental group of M. We use foliated branched covers to give a simple proof of this result.

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Samuel Ranz, Lauran Toussaint. 2023-02-28. An elementary proof of Novikov's theorem. https://doi.org/10.2140/agt.2026.26.2363

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