• Corpus ID: 208617320

# Euler class of taut foliations and Dehn filling

@article{Hu2019EulerCO,
title={Euler class of taut foliations and Dehn filling},
author={Ying Hu},
journal={arXiv: Geometric Topology},
year={2019}
}
• Ying Hu
• Published 3 December 2019
• Mathematics
• arXiv: Geometric Topology
We study the Euler class of co-orientable taut foliations on rational homology spheres. Given a rational homology solid torus $X$, we give necessary and sufficient conditions for the Euler class of taut foliations on Dehn fillings of $X$ that are transverse to the core of the filling solid torus to vanish, from which restrictions on the range of the filling slopes are derived. Precise calculations are done for taut foliations that are carried by certain nice branched surfaces. Implications of…

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### Taut foliations in punctured surface bundles, I

Given a fibred, compact, orientable 3‐manifold with single boundary component, we show that a fibration with fiber surface of negative Euler characteristic can be perturbed to yield taut foliations

### FOLIATIONS AND THE TOPOLOGY OF 3-MANIFOLDS. II

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