[99] On Knot and Manifold Invariants

  • Raoul Bott
Part of the Contemporary Mathematicians book series (CM)


In these two lectures I would like to discuss the new direction in which topology has moved largely t hrough the impetus of physics-inspired ideas. But to start us off I thought I would, in this first lecture, present an “old” invariant of knots albeit in a “new” guise. Then we will compare it to its “old” manifestation.

Let me, therefore, teach you L. Kaufman’s “state algorithm” for the “Conway polynomial” \({\nabla _K}(t)\)


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Authors and Affiliations

  • Raoul Bott
    • 1
  1. 1.Department of Mathematics, Harvard UniversityCambridgeUSA

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