Notes for AKT-091008-1/0:31:58: Difference between revisions
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# <math>|W_{sl_N}^{top}(D)|</math> is proportional to the number of planar 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. |
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# 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>. |
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#The statement above is equivalent to the four colour theorem. |
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Latest revision as of 21:11, 7 November 2011
Comments:
- The statement is reasonable and doesn't look hard.
- [math]\displaystyle{ |W_{sl_N}^{top}(D)| }[/math] is proportional to the number of planar embeddings of [math]\displaystyle{ D }[/math] with minor conditions.
- If [math]\displaystyle{ D }[/math] is planar, [math]\displaystyle{ |W_{sl_2}(D)| }[/math] is proportional to the number of 4-colorings of the plane divided by [math]\displaystyle{ D }[/math].
- The statement above is equivalent to the four colour theorem.
