Výsledky vyhledávání - "Parlak, Anna"

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Arbitrarily large veering triangulations with a vanishing taut polynomial

Autor: Parlak, Anna

Landry, Minsky, and Taylor introduced an invariant of veering triangulations called the taut polynomial. Via a connection between veering triangulations and pseudo-Anosov flows, it generalizes the Teichm\"uller polynomial of a fibered face of the Thu

Externí odkaz: http://arxiv.org/abs/2309.01752

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Mutations and faces of the Thurston norm ball dynamically represented by multiple distinct flows

Autor: Parlak, Anna

A pseudo-Anosov flow on a hyperbolic 3-manifold dynamically represents a face F of the Thurston norm ball if the cone on F is dual to the cone spanned by homology classes of closed orbits of the flow. Fried showed that for every fibered face of the T

Externí odkaz: http://arxiv.org/abs/2303.17665

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The taut polynomial and the Alexander polynomial

Autor: Parlak, Anna

Publikováno v: J. Topol., 16: 720-756, 2023

Landry, Minsky and Taylor defined the taut polynomial of a veering triangulation. Its specialisations generalise the Teichmuller polynomial of a fibred face of the Thurston norm ball. We prove that the taut polynomial of a veering triangulation is eq

Externí odkaz: http://arxiv.org/abs/2101.12162

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Computation of the taut, the veering and the Teichm\'uller polynomials

Autor: Parlak, Anna

Landry, Minsky and Taylor [LMT] introduced two polynomial invariants of veering triangulations -- the taut polynomial and the veering polynomial. We give algorithms to compute these invariants. In their definition [LMT] use only the upper track of th

Externí odkaz: http://arxiv.org/abs/2009.13558

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Roots of Dehn twists on nonorientable surfaces

Autor: Parlak, Anna, Stukow, Michal

Publikováno v: J. Knot Theory Ramif., Vol. 28, No. 12, 1950077 (2019)

Margalit and Schleimer observed that Dehn twists on orientable surfaces have nontrivial roots. We investigate the problem of roots of a Dehn twist t_c about a nonseparating circle c in the mapping class group M(N_g) of a nonorientable surface N_g of

Externí odkaz: http://arxiv.org/abs/1701.00531

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Roots of crosscap slides and crosscap transpositions

Autor: Parlak, Anna, Stukow, Michał

Publikováno v: Period Math Hung, 75, 413-419 (2017)

Let $N_{g}$ denote a closed nonorientable surface of genus $g$. For $g \geq 2$ the mapping class group $\mathcal{M}(N_{g})$ is generated by Dehn twists and one crosscap slide ($Y$-homeomorphism) or by Dehn twists and a crosscap transposition. Margali

Externí odkaz: http://arxiv.org/abs/1601.06096

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