Khovanov Homology and Surfaces in Four-Manifolds

Khovanov Homology and Surfaces in Four-Manifolds

Joint Mathematics Meetings via YouTube Direct link

Intro

1 of 27

1 of 27

Intro

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Khovanov Homology and Surfaces in Four-Manifolds

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  1. 1 Intro
  2. 2 Outline
  3. 3 Four dimensions
  4. 4 Exotic smooth structures
  5. 5 Applications of gauge theory
  6. 6 Surfaces in 4-manifolds
  7. 7 Surfaces in B4
  8. 8 Slice genus
  9. 9 The differential on Khovanov homology
  10. 10 More on Khovanov homology
  11. 11 The Rasmussen invariant
  12. 12 New proofs of old results
  13. 13 A new application
  14. 14 The knot trace
  15. 15 New applications
  16. 16 A possible approach to SPC4
  17. 17 Gluck twists
  18. 18 A negative result
  19. 19 A more positive result
  20. 20 Another construction of homotopy 4-spheres
  21. 21 Knots with the same 0-surgeries
  22. 22 Special RBG links
  23. 23 Slides From a special RBG link we obtain a knot ko by sliding Gover Runtil
  24. 24 An example
  25. 25 Computer experiments
  26. 26 Possibly slice knots
  27. 27 More examples

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