The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
#
|
Week of...
|
Links
|
1
|
Sep 11
|
About, Tue, Thu
|
2
|
Sep 18
|
Tue, Kurlin(P), Thu
|
3
|
Sep 25
|
Tue, Photo, Thu
|
4
|
Oct 2
|
HW1, Tue, Thu
|
5
|
Oct 9
|
Tue(P), Thu(P)
|
6
|
Oct 16
|
HW2, Tue(P), Thu(P)
|
7
|
Oct 23
|
Tue(P), Thu
|
8
|
Oct 30
|
HW3, Tue, Thu
|
9
|
Nov 6
|
Tue (), Thu
|
10
|
Nov 13
|
Tue, Thu
|
11
|
Nov 20
|
HW4(P), Thu
|
12
|
Nov 27
|
Thu
|
13
|
Dec 4
|
Syzygies in Asymptote, Final
|
|
Jan 8
|
Grades
|
Note. (P) means "contains a problem that Dror cares about".
|
Add your name / see who's in!
|
On to 07-1352
|
|
Quick Plan
- Talk about some interesting properties of knots:
- Can it be unknotted in less than 3 crossing changes?
- Does is bound a Seifert surface of genus less than 7? (See the program SeifertView by Jack van Wijk).
- Is it a boundary link? (See an amusing list at the bottom of the Knot Atlas page on The Multivariable Alexander Polynomial).
- Is it fibered? (See an animation by Robert Barrington Leigh).
- Is it a ribbon knot? Does it bound a disk in the 4-ball?
- Briefly mention a few other interesting properties of knots:
- Is it the closure of a braid on at most 6 strands?
- Does it have a projection with less than 23 crossings?
- Does it have an alternating projection?
- Is it algebraic?
- Does it have some symmetries?
Scanned Notes