Notes for AKT-091008-1/0:31:58: Difference between revisions

Latest revision as of 22:11, 7 November 2011

Comments:

The statement is reasonable and doesn't look hard.
$|W_{sl_{N}}^{top}(D)|$ is proportional to the number of planar embeddings of $D$ with minor conditions.
If $D$ is planar, $|W_{sl_{2}}(D)|$ is proportional to the number of 4-colorings of the plane divided by $D$ .
The statement above is equivalent to the four colour theorem.

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-Comments:
+''Comments'':
-. the statement is reasonable and doesn't look hard
+# The statement is reasonable and doesn't look hard.
-. <math>|W_{sl_N}^{top}(D)|</math> is proportional to the number of planer embeddings of <math>D</math> with minor conditions
+# <math>|W_{sl_N}^{top}(D)|</math> is proportional to the number of planar embeddings of <math>D</math> with minor conditions.
-. If <math>D</math> is planar <math>|W_{sl_2}^(D)|</math> is proportional to the number of 4-colorings of the plane divided by <math>D</math>
+# If <math>D</math> is planar, <math>|W_{sl_2}(D)|</math> is proportional to the number of 4-colorings of the plane divided by <math>D</math>.
+#The statement above is equivalent to the four colour theorem.