Výsledky vyhledávání - "Figure-eight knot"

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Khovanov homology detects the figure‐eight knot

Autor: Adam Simon Levine, Radmila Sazdanovic, Nathan Dowlin, John A. Baldwin, Tye Lidman

Publikováno v: Bulletin of the London Mathematical Society. 53:871-876

Using Dowlin's spectral sequence from Khovanov homology to knot Floer homology, we prove that reduced Khovanov homology (over $\mathbb{Q}$) detects the figure-eight knot.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b01329829b42fa6963cd97e957e7b7dc
https://doi.org/10.1112/blms.12467

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Configurations of flags in orbits of real forms

Autor: Giulia Sarfatti, Elisha Falbel, Marco Maculan

Publikováno v: Geometriae Dedicata. 207:95-156

In this paper we start the study of configurations of flags in closed orbits of real forms using mainly tools of GIT. As an application, using cross ratio coordinates for generic configurations, we identify boundary unipotent representations of the f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::27f5761a4fb2f0b05f0af374a57ca224
https://doi.org/10.1007/s10711-019-00489-3

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Classification of tight contact structures on surgeries on the figure-eight knot

Autor: Hyunki Min, James Conway

Publikováno v: Geom. Topol. 24, no. 3 (2020), 1457-1517

Two of the basic questions in contact topology are which manifolds admit tight contact structures, and on those that do, can we classify such structures. We present the first such classification on an infinite family of (mostly) hyperbolic 3-manifold

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15391fdde5f94e9e8654e4bb3f4282dc
http://arxiv.org/abs/1901.06066

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The Profinite Completion of 3-Manifold Groups, Fiberedness and the Thurston Norm

Autor: Michel Boileau, Stefan Friedl

Publikováno v: What’s next? The mathematical legacy of William P. Thurston.
What’s next? The mathematical legacy of William P. Thurston., 2020, ⟨10.1515/9780691185897⟩

We show that a regular isomorphism of profinite completion of the fundamental groups of two 3-manifolds $N_1$ and $N_2$ induces an isometry of the Thurston norms and a bijection between the fibered classes. We study to what extent does the profinite

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b148de999c3f286c458205c0041d5a8
https://doi.org/10.2307/j.ctvthhdvv.5

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On the asymptotic expansion of the quantum SU(2) invariant at q =exp(4π∕N) for closed hyperbolic 3–manifolds obtained by integral surgery along the figure-eight knot

Autor: Tomotada Ohtsuki

Publikováno v: Algebraic & Geometric Topology. 18:4187-4274

It is known that the quantum SU ( 2 ) invariant of a closed 3 –manifold at q = exp ( 2 π − 1 ∕ N ) is of polynomial order as N → ∞ . Recently, Chen and Yang conjectured that the quantum SU ( 2 ) invariant of a closed hyperbolic 3 –manifo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::26c44b5d2ddf653b9252295db055a252
https://doi.org/10.2140/agt.2018.18.4187

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Basic study for drive mechanism with synthetic fiber rope (Terminal fixation method using a grooved pulley and a figure-eight knot)

Autor: Atsushi Horigome, Atsushi Takata, Gen Endo, Youki Wakabayashi

Publikováno v: Transactions of the JSME (in Japanese). 84:18-00067

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::21396476b45e40d1a65fe3ef312b6df7
https://doi.org/10.1299/transjsme.18-00067

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Spherical CR Dehn surgeries

Autor: Miguel Acosta

Publikováno v: Pacific Journal of Mathematics, 284(2), 257-282. Berkeley, CA: University of California at Berkeley (2016).

Consider a three dimensional cusped spherical CR manifold M and suppose that the holonomy representation of $\pi_1(M)$ can be deformed in such a way that the peripheral holonomy is generated by a non-parabolic element. We prove that, in this case, th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb0e153765afa43d740bb13a9fd853bd
https://doi.org/10.2140/pjm.2016.284.257

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