Skip to main content
broken link fixed, cf. https://meta.mathoverflow.net/q/5301/70594
Source Link
Glorfindel
  • 2.8k
  • 6
  • 28
  • 38

As far as quantum invariants, there is Witten's Quantum Field Theory and the Jones PolynomialQuantum Field Theory and the Jones Polynomial, which gives a 3-dimensional definition of the Jones polynomial (usually defined, as you say, using 2-dimensional diagrams) at a physical level of rigor. I understand that this paper was extremely influential, but I'm not familiar with the details. More recently, Witten's Fivebranes and KnotsFivebranes and Knots gives a 5-dimensional definition of Khovanov homology at a physical level of rigor.

As far as quantum invariants, there is Witten's Quantum Field Theory and the Jones Polynomial, which gives a 3-dimensional definition of the Jones polynomial (usually defined, as you say, using 2-dimensional diagrams) at a physical level of rigor. I understand that this paper was extremely influential, but I'm not familiar with the details. More recently, Witten's Fivebranes and Knots gives a 5-dimensional definition of Khovanov homology at a physical level of rigor.

As far as quantum invariants, there is Witten's Quantum Field Theory and the Jones Polynomial, which gives a 3-dimensional definition of the Jones polynomial (usually defined, as you say, using 2-dimensional diagrams) at a physical level of rigor. I understand that this paper was extremely influential, but I'm not familiar with the details. More recently, Witten's Fivebranes and Knots gives a 5-dimensional definition of Khovanov homology at a physical level of rigor.

added 3 characters in body
Source Link
Qiaochu Yuan
  • 118.2k
  • 40
  • 447
  • 741

The first one that comes to mindAs far as quantum invariants, there is Witten's Quantum Field Theory and the Jones Polynomial, which gives a 3-dimensional definition of the Jones polynomial (usually defined, as you say, using 2-dimensional diagrams) at a physical level of rigor. I understand that this paper was extremely influential, but I'm not familiar with the details. More recently, Witten's Fivebranes and Knots gives a 5-dimensional definition of Khovanov homology at a physical level of rigor.

The first one that comes to mind is Witten's Quantum Field Theory and the Jones Polynomial, which gives a 3-dimensional definition of the Jones polynomial (usually defined, as you say, using 2-dimensional diagrams) at a physical level of rigor. I understand that this paper was extremely influential, but I'm not familiar with the details. More recently, Witten's Fivebranes and Knots gives a 5-dimensional definition of Khovanov homology at a physical level of rigor.

As far as quantum invariants, there is Witten's Quantum Field Theory and the Jones Polynomial, which gives a 3-dimensional definition of the Jones polynomial (usually defined, as you say, using 2-dimensional diagrams) at a physical level of rigor. I understand that this paper was extremely influential, but I'm not familiar with the details. More recently, Witten's Fivebranes and Knots gives a 5-dimensional definition of Khovanov homology at a physical level of rigor.

Source Link
Qiaochu Yuan
  • 118.2k
  • 40
  • 447
  • 741

The first one that comes to mind is Witten's Quantum Field Theory and the Jones Polynomial, which gives a 3-dimensional definition of the Jones polynomial (usually defined, as you say, using 2-dimensional diagrams) at a physical level of rigor. I understand that this paper was extremely influential, but I'm not familiar with the details. More recently, Witten's Fivebranes and Knots gives a 5-dimensional definition of Khovanov homology at a physical level of rigor.