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1

1945-, Kauffman Louis H., ed. Knots and applications. World Scientific, 1995.

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2

Ohtsuki, Tomotada. On the 2-loop polynomial of knots. Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2005.

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3

Li, Weiping, and Shihshu Walter Wei. Geometry and topology of submanifolds and currents: 2013 Midwest Geometry Conference, October 19, 2013, Oklahoma State University, Stillwater, Oklahoma : 2012 Midwest Geometry Conference, May 12-13, 2012, University of Oklahoma, Norman, Oklahoma. American Mathematical Society, 2015.

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4

Knots and Physics. World Scientific Publishing Co Pte Ltd, 2012.

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5

Knots and physics. 2nd ed. World Scientific, 1993.

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6

Knots and physics. 3rd ed. World Scientific, 2001.

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7

Knots and Physics. World Scientific Publishing Company, 2012.

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8

Knots and physics. World Scientific, 1991.

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9

Knots and Physics. World Scientific Publishing Co Pte Ltd, 2012.

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10

Knots and Physics. World Scientific Publishing Co Pte Ltd, 1994.

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11

Knots and Physics. World Scientific Publishing Co Pte Ltd, 2012.

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12

Knots and Physics. World Scientific Publishing Co Pte Ltd, 1991.

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13

Moffatt, Iain, and Joanna A. Ellis-Monaghan. Graphs on Surfaces: Dualities, Polynomials, and Knots. Springer London, Limited, 2013.

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14

Moffatt, Iain, and Joanna A. Ellis-Monaghan. Graphs on Surfaces: Dualities, Polynomials, and Knots. Springer, 2013.

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15

Moffatt, Iain, and Joanna A. Ellis-Monaghan. Graphs on Surfaces: Dualities, Polynomials, and Knots. Springer, 2013.

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16

Diagram Genus, Generators, and Applications. Taylor & Francis Group, 2018.

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17

Stoimenow, Alexander. Diagram Genus, Generators, and Applications. Taylor & Francis Group, 2016.

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Stoimenow, Alexander. Diagram Genus, Generators, and Applications. Taylor & Francis Group, 2018.

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19

Stoimenow, Alexander. Diagram Genus, Generators, and Applications. Taylor & Francis Group, 2018.

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20

Stoimenow, Alexander. Diagram Genus, Generators, and Applications. Taylor & Francis Group, 2018.

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21

Witten, Edward. Two Lectures on the Jones Polynomial and Khovanov Homology. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198784913.003.0001.

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In the first of these two lectures I describe a gauge theory approach to understanding quantum knot invariants as Laurent polynomials in a complex variable q. The two main steps are to reinterpret three-dimensional Chern-Simons gauge theory in four dimensional terms and then to apply electric-magnetic duality. The variable q is associated to instanton number in the dual description in four dimensions. In the second lecture, I describe how Khovanov homology can emerge upon adding a fifth dimension.
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22

Bollobas, B. Polynomials of Graphs and Knots. Cambridge University Press, 2004.

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23

Bollobas, B. Polynomials of Graphs and Knots. Cambridge University Press, 2004.

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24

Fiedler, Thomas. Polynomial One-Cocycles for Knots and Closed Braids. World Scientific Publishing Co Pte Ltd, 2019.

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