1. Introduction

  2. Some TGD background

    1. Time-like and space-like braidings for generalized Feynman diagrams

    2. Dance metaphor

    3. DNA as topological quantum computer

  3. Could braid cobordisms define more general braid invariants?

    1. Difference between knotting and linking

    2. Topological strings in 4-D space-time define knot cobordisms

  4. Invariants 2-knots as vacuum expectations of Wilson loops in 4-D space-time?

    1. What 2-knottedness means concretely?

    2. Are all possible 2-knots possible for stringy world sheets?

    3. Are Wilson loops enough for 2-knots?

  5. TGD inspired theory of braid cobordisms and 2-knots

    1. Weak form of electric-magnetic duality and duality of space-like and time-like braidings

    2. Could Kähler magnetic fluxes define invariants of braid cobordisms?

    3. Classical color gauge fields and their generalizations define gerbe gauge potentials allowing to replace Wilson loops with Wilson sheets

    4. Summing sup the basic ideas

  6. Witten's approach to Khovanov homology from TGD point of view

    1. Intersection form and space-time topology

    2. Framing anomaly

    3. Khovanov homology briefly

    4. Surface operators and the choice of the preferred 2-surfaces

    5. The identification of charges Q, P and F of Khovanov homology

    6. What does the replacement of topological invariance with symplectic invariance mean?

  7. Algebraic braids, sub-manifold braid theory, and generalized Feynman diagrams

    1. Generalized Feynman diagrams, Feynman diagrams, and braid diagrams

    2. Brief summary of algebraic knot theory

    3. Generalized Feynman diagrams as generalized braid diagrams?

  8. Electron as a trefoil or something more general?

    1. Space-time as 4-surface and the basic argument

    2. What is the origin of strings going around the magnetic flux tube?

    3. How elementary particles interact as knots?