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Akademický článek

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Dissertation/ Thesis

Approaches to Boyd's conjectures and their applications

Autor: Wu, Gang

Dans cette thèse, nous considérons quatre cas de conjectures de Boyd pour la mesure de Mahler de polynômes. Le premier cas concerne un polynôme associé à une courbe de genre 1, deux autres cas couvrent des courbes de genre 2, et le dernier cas

Externí odkaz: http://hdl.handle.net/1866/27811

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Recognition of being fibered for compact 3–manifolds

Autor: Andrei Jaikin-Zapirain

Publikováno v: Geom. Topol. 24, no. 1 (2020), 409-420

Let [math] be a compact orientable aspherical [math] –manifold. We show that if the profinite completion of [math] is isomorphic to the profinite completion of a free-by-cyclic group or to the profinite completion of a surface-by-cyclic group, then

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cdbfc1c17dcdab700d263afb06a8c82
https://doi.org/10.2140/gt.2020.24.409

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Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori

Autor: Baik, Hyungryul, Baik, Juhun, Kim, Changsub, Tranchida, Philippe

Publikováno v: Glasnik matematički
Volume 57
Issue 2

We investigate the relation between the topological entropy of pseudo-Anosov maps on surfaces with punctures and the rank of the first homology of their mapping tori. On the surface $S$ of genus $g$ with $n$ punctures, we show that the entropy of a p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8c100e068fd0970629e0867992c6711
https://hrcak.srce.hr/289611

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Reidemeister torsion, complex volume and the Zograf infinite product for hyperbolic 3–manifolds

Autor: Jinsung Park

Publikováno v: Geom. Topol. 23, no. 7 (2019), 3687-3734

We prove an equality which involves Reidemeister torsion, complex volume and the Zograf infinite product for hyperbolic [math] –manifolds.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1269c2f2b14da040ff0a16c04751a66d
https://doi.org/10.2140/gt.2019.23.3687

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Akademický článek

On the Construction of Branched Coverings of Low-Dimensional Manifolds

Autor: Berstein, Israel, Edmonds, Allan L.

Publikováno v: Transactions of the American Mathematical Society, 1979 Jan 01. 247, 87-124.

Externí odkaz: https://www.jstor.org/stable/1998776

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Thurston norm via Fox calculus

Autor: Stephan Tillmann, Kevin Schreve, Stefan Friedl

Publikováno v: Geom. Topol. 21, no. 6 (2017), 3759-3784

In 1976 Thurston associated to a $3$-manifold $N$ a marked polytope in $H_1(N;\mathbb{R}),$ which measures the minimal complexity of surfaces representing homology classes and determines all fibered classes in $H^1(N;\mathbb{R})$. Recently the first

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45934db21a294ff9ac0f60ce3bde096e
https://doi.org/10.2140/gt.2017.21.3759

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Small $C^1$ actions of semidirect products on compact manifolds

Autor: Christian Bonatti, Thomas Koberda, Sang-hyun Kim, Michele Triestino

Publikováno v: Algebraic and Geometric Topology
Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2020, 20 (6), pp.3183-3203. ⟨10.2140/agt.2020.20.3183⟩
Algebr. Geom. Topol. 20, no. 6 (2020), 3183-3203

Let $T$ be a compact fibered $3$--manifold, presented as a mapping torus of a compact, orientable surface $S$ with monodromy $\psi$, and let $M$ be a compact Riemannian manifold. Our main result is that if the induced action $\psi^*$ on $H^1(S,\mathb

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ed68b79bc6e9431fd05297082b29b31
http://arxiv.org/abs/1910.04620

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A topologically minimal, weakly reducible, unstabilized Heegaard splitting of genus three is critical

Autor: Jungsoo Kim

Publikováno v: Algebr. Geom. Topol. 16, no. 3 (2016), 1427-1451

Let (V,W;F) be a weakly reducible, unstabilized, genus three Heegaard splitting in an orientable, irreducible 3-manifold M. In this article, we prove that either the disk complex D(F) is contractible or F is critical. Hence, the topological index of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ac3180dcc1a124cb6370d4ecf53f282
https://doi.org/10.2140/agt.2016.16.1427

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