User contributions for Cameron.martin

24 August 2018

• 16:2216:22, 24 August 2018 diff hist +1‎ Notes for AKT-140127/0:47:34 ‎No edit summary current
• 16:2116:21, 24 August 2018 diff hist +1,659‎ N Notes for AKT-140127/0:47:34 ‎ Created page with "This note closely follows the introductory parts of "Vassiliev and Quantum Invariants of Braids" by Dror Bar-Natan (1996). The notion of finite type invariant can be extended..."
• 16:2016:20, 24 August 2018 diff hist 0‎ N File:Braid chord diagram.jpg ‎No edit summary current

18 August 2018

• 13:5113:51, 18 August 2018 diff hist +10‎ Notes for AKT-140120/0:22:11 ‎No edit summary current
• 13:5013:50, 18 August 2018 diff hist −31‎ Notes for AKT-140120/0:22:11 ‎No edit summary
• 13:4813:48, 18 August 2018 diff hist +1,582‎ N Notes for AKT-140120/0:22:11 ‎ Created page with "Much like the concept of a type n knot invariant described in this lecture, there is such a thing as a type n invariant of "virtual knots". Virtual knots can be defined in man..."
• 13:4813:48, 18 August 2018 diff hist 0‎ N File:Semi virtual crossings.jpg ‎No edit summary current

17 August 2018

• 16:1416:14, 17 August 2018 diff hist −5‎ Notes for AKT-140127/0:31:27 ‎No edit summary current
• 16:1316:13, 17 August 2018 diff hist +1,168‎ N Notes for AKT-140127/0:31:27 ‎ Created page with "Much of this note comes from the paper "Finite type invariants of classical and virtual knots" by Goussarov, Polyak, and Viro, which can be found here: https://arxiv.org/abs/m..."
• 16:1216:12, 17 August 2018 diff hist 0‎ N File:Gauss diagrams.jpg ‎No edit summary current

8 August 2018

• 15:2015:20, 8 August 2018 diff hist −23‎ Notes for AKT-140310/0:35:45 ‎No edit summary current
• 15:2015:20, 8 August 2018 diff hist +1‎ Notes for AKT-140310/0:35:45 ‎No edit summary
• 15:1915:19, 8 August 2018 diff hist +22‎ Notes for AKT-140310/0:35:45 ‎No edit summary

31 July 2018

• 19:0019:00, 31 July 2018 diff hist −5‎ Notes for AKT-140310/0:35:45 ‎No edit summary
• 18:5918:59, 31 July 2018 diff hist +6‎ Notes for AKT-140310/0:35:45 ‎No edit summary
• 18:5818:58, 31 July 2018 diff hist +6‎ Notes for AKT-140310/0:35:45 ‎No edit summary
• 18:5718:57, 31 July 2018 diff hist −21‎ Notes for AKT-140310/0:35:45 ‎No edit summary
• 18:5618:56, 31 July 2018 diff hist +1‎ Notes for AKT-140310/0:35:45 ‎No edit summary
• 18:5418:54, 31 July 2018 diff hist −11‎ Notes for AKT-140310/0:35:45 ‎No edit summary
• 18:5218:52, 31 July 2018 diff hist +2,561‎ N Notes for AKT-140310/0:35:45 ‎ Created page with "In this note, we compute and interpret the structure constants $f_{abc}$ of $so(N)$, as well as the two-index tensors $t_{ab}$ encoding the information from the metric. In oth..."
• 18:5018:50, 31 July 2018 diff hist 0‎ N File:So(N) 2.jpg ‎No edit summary current
• 18:4918:49, 31 July 2018 diff hist 0‎ N File:So(N) 1.jpg ‎No edit summary current

12 June 2018

• 22:5422:54, 12 June 2018 diff hist +10‎ Notes for AKT-140224/0:22:08 ‎No edit summary current
• 22:5422:54, 12 June 2018 diff hist +6‎ Notes for AKT-140224/0:22:08 ‎No edit summary
• 22:5222:52, 12 June 2018 diff hist −2‎ Notes for AKT-140224/0:22:08 ‎No edit summary
• 22:5122:51, 12 June 2018 diff hist +2‎ Notes for AKT-140224/0:22:08 ‎No edit summary
• 22:5022:50, 12 June 2018 diff hist −54‎ Notes for AKT-140224/0:22:08 ‎No edit summary
• 22:4922:49, 12 June 2018 diff hist +1,134‎ N Notes for AKT-140224/0:22:08 ‎ Created page with "We will check that the prospective Lie algebra $g = \mathds{F}^2$ satisfies the Jacobi identity $[x,[y,z]] + [y,[z,x]] + [z,[x,y]] = 0$, and thus is indeed a Lie algebra. In c..."

30 May 2018

• 14:5514:55, 30 May 2018 diff hist +2,456‎ N Notes for AKT-140117/0:16:43 ‎ Created page with "The "power-line" problem is also known as the "catenary" problem (https://en.wikipedia.org/wiki/Catenary). As stated, we want to minimize the potential energy, so we must find..." current
• 14:4614:46, 30 May 2018 diff hist −52‎ Notes for AKT-140120/0:34:12 ‎No edit summary current
• 14:4214:42, 30 May 2018 diff hist +288‎ N Notes for AKT-140106/0:46:29 ‎ Created page with "The unknot $0_1$ and the figure-eight knot $4_1$ both have 3 legal 3-colorings, i.e. $\lambda(0_1) = \lambda(4_1) = 3$. 3-coloring fails to distinguish the unknot from the fig..."

20 May 2018

• 12:1112:11, 20 May 2018 diff hist +51‎ Notes for AKT-140120/0:34:12 ‎No edit summary
• 12:1012:10, 20 May 2018 diff hist +104‎ N Notes for AKT-140120/0:34:12 ‎ Created page with "The second crossing on this line should be an undercrossing (as stated), not an overcrossing (as drawn)."

15 May 2018

• 11:5311:53, 15 May 2018 diff hist +2,405‎ N Notes for AKT-140106/0:43:23 ‎ Created page with "'''Claim:''' The number of legal 3-colorings of a knot diagram is always a power of 3. This is an expansion on the proof given by Przytycki (https://arxiv.org/abs/math/06081..."

14 May 2018

• 18:2618:26, 14 May 2018 diff hist +1,560‎ N Notes for AKT-140117/0:21:24 ‎ A derivation of Lemma 3.4 current