Knot theory (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Knot theory" in English language version.

refsWebsite

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4doi.org

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4arxiv.org

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4harvard.edu

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2ams.org

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2semanticscholar.org

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2wolfram.com

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2nih.gov

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1worldcat.org

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1ox.ac.uk

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1psu.edu

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1richardelwes.co.uk

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ams.org

mathscinet.ams.org

As first sketched using the theory of Haken manifolds by Haken (1962). For a more recent survey, see Hass (1998) Haken, Wolfgang (1962), "Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I", Mathematische Zeitschrift, 80: 89–120, doi:10.1007/BF01162369, ISSN 0025-5874, MR 0160196 Hass, Joel (1998), "Algorithms for recognizing knots and 3-manifolds", Chaos, Solitons and Fractals, 9 (4–5): 569–581, arXiv:math/9712269, Bibcode:1998CSF.....9..569H, doi:10.1016/S0960-0779(97)00109-4, S2CID 7381505
Adams et al. 2015. Adams, Colin; Crawford, Thomas; DeMeo, Benjamin; Landry, Michael; Lin, Alex Tong; Montee, MurphyKate; Park, Seojung; Venkatesh, Saraswathi; Yhee, Farrah (2015), "Knot projections with a single multi-crossing", Journal of Knot Theory and Its Ramifications, 24 (3): 1550011, 30, arXiv:1208.5742, doi:10.1142/S021821651550011X, MR 3342136, S2CID 119320887

arxiv.org

As first sketched using the theory of Haken manifolds by Haken (1962). For a more recent survey, see Hass (1998) Haken, Wolfgang (1962), "Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I", Mathematische Zeitschrift, 80: 89–120, doi:10.1007/BF01162369, ISSN 0025-5874, MR 0160196 Hass, Joel (1998), "Algorithms for recognizing knots and 3-manifolds", Chaos, Solitons and Fractals, 9 (4–5): 569–581, arXiv:math/9712269, Bibcode:1998CSF.....9..569H, doi:10.1016/S0960-0779(97)00109-4, S2CID 7381505
Adams et al. 2015. Adams, Colin; Crawford, Thomas; DeMeo, Benjamin; Landry, Michael; Lin, Alex Tong; Montee, MurphyKate; Park, Seojung; Venkatesh, Saraswathi; Yhee, Farrah (2015), "Knot projections with a single multi-crossing", Journal of Knot Theory and Its Ramifications, 24 (3): 1550011, 30, arXiv:1208.5742, doi:10.1142/S021821651550011X, MR 3342136, S2CID 119320887
Ogasa, Eiji (2013), Introduction to high dimensional knots, arXiv:1304.6053, Bibcode:2013arXiv1304.6053O — An introductory article to high dimensional knots and links for beginners
Golovnev, Anatoly; Mashaghi, Alireza (7 December 2021). "Circuit Topology for Bottom-Up Engineering of Molecular Knots". Symmetry. 13 (12): 2353. arXiv:2106.03925. Bibcode:2021Symm...13.2353G. doi:10.3390/sym13122353.

doi.org

As first sketched using the theory of Haken manifolds by Haken (1962). For a more recent survey, see Hass (1998) Haken, Wolfgang (1962), "Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I", Mathematische Zeitschrift, 80: 89–120, doi:10.1007/BF01162369, ISSN 0025-5874, MR 0160196 Hass, Joel (1998), "Algorithms for recognizing knots and 3-manifolds", Chaos, Solitons and Fractals, 9 (4–5): 569–581, arXiv:math/9712269, Bibcode:1998CSF.....9..569H, doi:10.1016/S0960-0779(97)00109-4, S2CID 7381505
Adams et al. 2015. Adams, Colin; Crawford, Thomas; DeMeo, Benjamin; Landry, Michael; Lin, Alex Tong; Montee, MurphyKate; Park, Seojung; Venkatesh, Saraswathi; Yhee, Farrah (2015), "Knot projections with a single multi-crossing", Journal of Knot Theory and Its Ramifications, 24 (3): 1550011, 30, arXiv:1208.5742, doi:10.1142/S021821651550011X, MR 3342136, S2CID 119320887
Golovnev, Anatoly; Mashaghi, Alireza (7 December 2021). "Circuit Topology for Bottom-Up Engineering of Molecular Knots". Symmetry. 13 (12): 2353. arXiv:2106.03925. Bibcode:2021Symm...13.2353G. doi:10.3390/sym13122353.
Flapan, Erica; Mashaghi, Alireza; Wong, Helen (1 June 2023). "A tile model of circuit topology for self-entangled biopolymers". Scientific Reports. 13 (1): 8889. Bibcode:2023NatSR..13.8889F. doi:10.1038/s41598-023-35771-8. PMC 10235088. PMID 37264056.

harvard.edu

ui.adsabs.harvard.edu

As first sketched using the theory of Haken manifolds by Haken (1962). For a more recent survey, see Hass (1998) Haken, Wolfgang (1962), "Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I", Mathematische Zeitschrift, 80: 89–120, doi:10.1007/BF01162369, ISSN 0025-5874, MR 0160196 Hass, Joel (1998), "Algorithms for recognizing knots and 3-manifolds", Chaos, Solitons and Fractals, 9 (4–5): 569–581, arXiv:math/9712269, Bibcode:1998CSF.....9..569H, doi:10.1016/S0960-0779(97)00109-4, S2CID 7381505
Ogasa, Eiji (2013), Introduction to high dimensional knots, arXiv:1304.6053, Bibcode:2013arXiv1304.6053O — An introductory article to high dimensional knots and links for beginners
Golovnev, Anatoly; Mashaghi, Alireza (7 December 2021). "Circuit Topology for Bottom-Up Engineering of Molecular Knots". Symmetry. 13 (12): 2353. arXiv:2106.03925. Bibcode:2021Symm...13.2353G. doi:10.3390/sym13122353.
Flapan, Erica; Mashaghi, Alireza; Wong, Helen (1 June 2023). "A tile model of circuit topology for self-entangled biopolymers". Scientific Reports. 13 (1): 8889. Bibcode:2023NatSR..13.8889F. doi:10.1038/s41598-023-35771-8. PMC 10235088. PMID 37264056.

nih.gov

ncbi.nlm.nih.gov

Flapan, Erica; Mashaghi, Alireza; Wong, Helen (1 June 2023). "A tile model of circuit topology for self-entangled biopolymers". Scientific Reports. 13 (1): 8889. Bibcode:2023NatSR..13.8889F. doi:10.1038/s41598-023-35771-8. PMC 10235088. PMID 37264056.

pubmed.ncbi.nlm.nih.gov

Flapan, Erica; Mashaghi, Alireza; Wong, Helen (1 June 2023). "A tile model of circuit topology for self-entangled biopolymers". Scientific Reports. 13 (1): 8889. Bibcode:2023NatSR..13.8889F. doi:10.1038/s41598-023-35771-8. PMC 10235088. PMID 37264056.

ox.ac.uk

maths.ox.ac.uk

Marc Lackenby announces a new unknot recognition algorithm that runs in quasi-polynomial time, Mathematical Institute, University of Oxford, 2021-02-03, retrieved 2021-02-03

psu.edu

citeseerx.ist.psu.edu

Levine, J.; Orr, K (2000), "A survey of applications of surgery to knot and link theory", Surveys on Surgery Theory: Papers Dedicated to C.T.C. Wall, Annals of mathematics studies, vol. 1, Princeton University Press, CiteSeerX 10.1.1.64.4359, ISBN 978-0691049380 — An introductory article to high dimensional knots and links for the advanced readers

richardelwes.co.uk

"The Revenge of the Perko Pair", RichardElwes.co.uk. Accessed February 2016. Richard Elwes points out a common mistake in describing the Perko pair.

semanticscholar.org

api.semanticscholar.org

As first sketched using the theory of Haken manifolds by Haken (1962). For a more recent survey, see Hass (1998) Haken, Wolfgang (1962), "Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I", Mathematische Zeitschrift, 80: 89–120, doi:10.1007/BF01162369, ISSN 0025-5874, MR 0160196 Hass, Joel (1998), "Algorithms for recognizing knots and 3-manifolds", Chaos, Solitons and Fractals, 9 (4–5): 569–581, arXiv:math/9712269, Bibcode:1998CSF.....9..569H, doi:10.1016/S0960-0779(97)00109-4, S2CID 7381505
Adams et al. 2015. Adams, Colin; Crawford, Thomas; DeMeo, Benjamin; Landry, Michael; Lin, Alex Tong; Montee, MurphyKate; Park, Seojung; Venkatesh, Saraswathi; Yhee, Farrah (2015), "Knot projections with a single multi-crossing", Journal of Knot Theory and Its Ramifications, 24 (3): 1550011, 30, arXiv:1208.5742, doi:10.1142/S021821651550011X, MR 3342136, S2CID 119320887

wolfram.com

mathworld.wolfram.com

Weisstein 2013. Weisstein, Eric W. (2013). "Reduced Knot Diagram". MathWorld. Wolfram. Retrieved 8 May 2013.
Weisstein 2013a. Weisstein, Eric W. (2013a). "Reducible Crossing". MathWorld. Wolfram. Retrieved 8 May 2013.

worldcat.org

As first sketched using the theory of Haken manifolds by Haken (1962). For a more recent survey, see Hass (1998) Haken, Wolfgang (1962), "Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I", Mathematische Zeitschrift, 80: 89–120, doi:10.1007/BF01162369, ISSN 0025-5874, MR 0160196 Hass, Joel (1998), "Algorithms for recognizing knots and 3-manifolds", Chaos, Solitons and Fractals, 9 (4–5): 569–581, arXiv:math/9712269, Bibcode:1998CSF.....9..569H, doi:10.1016/S0960-0779(97)00109-4, S2CID 7381505