Contents

• 1. About
• 2. Results
• 3. Presentations
  • 3.1 Gauss Codes
    • 3.1.1 Behaviour on Mirror Images and Inverses
  • 3.2 Planar Diagrams
• 4. Invariants
  • 4.1 Jones Polynomial
    • 4.1.1 Cabled Jones Polynomials
    • 4.1.2 Behaviour on Mirror Images and Inverses
  • 4.2 Generalized Alexander Polynomial
    • 4.2.1 Behaviour on Mirror Images and Inverses
  • 4.3 Self Linking Number
• 5. Related Virtual Knots
  • 5.1 Mirror Images
    • 5.1.1 Vertical
    • 5.1.2 Horizontal
  • 5.2 Inverse