Two Lectures On The Jones Polynomial And Khovanov Homology

@inproceedings{Witten2014TwoLO,
  title={Two Lectures On The Jones Polynomial And Khovanov Homology},
  author={Edward Witten},
  year={2014}
}
In the rst 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 
13
Twitter Mentions

References

Publications referenced by this paper.
SHOWING 1-10 OF 45 REFERENCES

Fivebranes And Knots

E. Witten
  • Quantum Topology 3 (2012) 1-137, arXiv:1101.3216.
  • 2012
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

Branes and Supergroups

Victor Mikhaylov, Edward Witten
  • 2015
VIEW 1 EXCERPT

Khovanov Homology and Gauge Theory

E. Witten
  • R. Kirby, V. Krushkal, and Z. Wang, eds., Proceedings Of The FreedmanFest (Mathematical Sciences Publishers, 2012) 291-308, arXiv:1108.3103.
  • 2012
VIEW 2 EXCERPTS