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Books on the topic 'Transverse knots and links'

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Author: Grafiati

Published: 10 March 2023

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1

Knots and links. Houston, Tex: Publish or Perish, 1990.

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2

Knots and links. Providence, R.I: AMS Chelsea Pub., 2003.

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3

Wiest, Bertold. Knots, links, and cubical sets. [s.l.]: typescript, 1997.

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4

András, Stipsicz, and Szabó Zoltán 1965-, eds. Grid homology for knots and links. Providence, Rhode Island: American Mathematical Society, 2015.

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5

Flapan, Erica, Allison Henrich, Aaron Kaestner, and Sam Nelson, eds. Knots, Links, Spatial Graphs, and Algebraic Invariants. Providence, Rhode Island: American Mathematical Society, 2017. http://dx.doi.org/10.1090/conm/689.

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6

Fiedler, Thomas. Gauss diagram invariants for knots and links. Dordrecht: Kluwer Academic Publishers, 2001.

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7

Ghrist, Robert W., Philip J. Holmes, and Michael C. Sullivan. Knots and Links in Three-Dimensional Flows. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0093387.

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8

Fiedler, Thomas. Gauss Diagram Invariants for Knots and Links. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9785-2.

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9

Ghrist, Robert W. Knots and links in three-dimensional flows. Berlin: Springer, 1997.

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10

Fiedler, Thomas. Gauss Diagram Invariants for Knots and Links. Dordrecht: Springer Netherlands, 2001.

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11

Knots, links, braids, and 3-manifolds: An introduction to the new invariants in low-dimensional topology. Providence, R.I: American Mathematical Society, 1997.

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12

Prasolov, V. V. Knots, links, braids and 3-manifolds: An introduction to the new invariants in low-dimensional topology. Providence, R.I: American Mathematical Society, 1997.

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13

1974-, Nelson Sam, ed. Quandles: An introduction to the algebra of knots. Providence, Rhode Island: American Mathematical Society, 2015.

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14

Flapan, Erica. Knots, molecules, and the universe: An introduction to topology. Providence, Rhode Island: American Mathematical Society, 2015.

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15

Jaco, William H., Hyam Rubinstein, Craig David Hodgson, Martin Scharlemann, and Stephan Tillmann. Geometry and topology down under: A conference in honour of Hyam Rubinstein, July 11-22, 2011, The University of Melbourne, Parkville, Australia. Providence, Rhode Island: American Mathematical Society, 2013.

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16

1978-, Usher Michael, ed. Low-dimensional and symplectic topology. Providence, R.I: American Mathematical Society, 2011.

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17

Knots and Links. Cambridge University Press, 2004.

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18

Cromwell, Peter R. Knots and Links. Cambridge University Press, 2012.

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19

Knots and Links. Cambridge University Press, 2004.

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20

Ozsváth, Peter S., András I. Stipsicz, and Zoltán Szabó. Grid Homology for Knots and Links. American Mathematical Society, 2015.

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21

Gauss Diagram Invariants for Knots and Links. Springer, 2001.

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22

Flapan, Erica, Sam Nelson, Allison Henrich, and Aaron Kaestner. Knots, Links, Spatial Graphs, and Algebraic Invariants. American Mathematical Society, 2017.

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23

Ghrist, Robert W., Philip J. Holmes, and Michael C. Sullivan. Knots and Links in Three-Dimensional Flows. Springer London, Limited, 2006.

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24

Bouttier, Jeremie. Knot theory and matrix integrals. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.27.

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This article considers some enumeration problems in knot theory, with a focus on the application of matrix integral techniques. It first reviews the basic definitions of knot theory, paying special attention to links and tangles, especially 2-tangles, before discussing virtual knots and coloured links as well as the bare matrix model that describes coloured link diagrams. It shows how the large size limit of matrix integrals with quartic potential may be used to count alternating links and tangles. The removal of redundancies amounts to renormalization of the potential. This extends into two directions: first, higher genus and the counting of ‘virtual’ links and tangles, and second, the counting of ‘coloured’ alternating links and tangles. The article analyses the asymptotic behaviour of the number of tangles as the number of crossings goes to infinity

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25

Lackenby, Marc. Elementary Knot Theory. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198784913.003.0002.

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This is an elementary survey of knot theory. It is a well developed, but there remain several notoriously intractable problems about knots and links, many of which are surprisingly easy to state. The aim is to highlight what we still do not understand, as well as to provide a brief survey of what is known.

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26

Braid foliations in low-dimensional topology. Springer, 2017.

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27

Hyperbolic Knot Theory. American Mathematical Society, 2020.

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28

Breadth in Contemporary Topology. American Mathematical Society, 2019.

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29

Introduction to 3-maniflods. AMS, 2014.

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