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Math
661 — Fall 2001
Geometric Topology: Knot Theory
| Instructor: |
James Conant |
| Time: |
TR 2:55–4:10 |
| Room: |
Malott 206 |
Text: On Knots, by Louis Kauffman (Princeton University
Press).
Knot theory is the study of embedded loops in three dimensional space
up to certain deformations. We will survey a variety of topics in this
area, including: Reidemeister moves, seifert surfaces, the braid group,
concordance, ribbon versus slice, 2-knots, knot polynomials (Conway, Jones...),
n-colorings, arf invariant, seifert form and S-equivalence, Milnor's link
homotopy, elementary Vassiliev theory, virtual knots, knot groups, quandles,
wild knots.
Last modified:
April 7, 2003
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