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On dual unit balls of Thurston norms
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- Journal:
- Canadian Mathematical Bulletin / Volume 65 / Issue 3 / September 2022
- Published online by Cambridge University Press:
- 07 October 2021, pp. 674-685
- Print publication:
- September 2022
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- Article
- Export citation
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Thurston norms are invariants of 3-manifolds defined on their second homology and understanding the shape of their dual unit balls is a widely open problem. In this article, we provide a large family of polytopes in
$\mathbb {R}^{2g}$
that appear like dual unit balls of Thurston norms, generalizing Thurston’s construction for polygons in 
$\mathbb {R}^2$
.À mes enseignants, premiers
