We compute the Minimal Entropy for every closed, orientable 3-manifold, showing that its cube equals the sum of the cubes of the minimal entropies of each hyperbolic component arising from the JSJ decomposition of each prime summand. As a consequence we show that the cube of the Minimal Entropy is additive with respect to both the prime and the JSJ decomposition. This answers a conjecture asked by Anderson and Paternain for irreducible manifolds.

Minimal entropy of 3-manifolds / Pieroni, Erika. - (2019 Jan 18).

Minimal entropy of 3-manifolds

Pieroni, Erika
18/01/2019

Abstract

We compute the Minimal Entropy for every closed, orientable 3-manifold, showing that its cube equals the sum of the cubes of the minimal entropies of each hyperbolic component arising from the JSJ decomposition of each prime summand. As a consequence we show that the cube of the Minimal Entropy is additive with respect to both the prime and the JSJ decomposition. This answers a conjecture asked by Anderson and Paternain for irreducible manifolds.
18-gen-2019
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1216301
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