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	<title>Notes for AKT-091008-1/0:31:58 - Revision history</title>
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	<updated>2026-07-02T23:24:29Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://drorbn.net/index.php?title=Notes_for_AKT-091008-1/0:31:58&amp;diff=11040&amp;oldid=prev</id>
		<title>Iva at 02:11, 8 November 2011</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=Notes_for_AKT-091008-1/0:31:58&amp;diff=11040&amp;oldid=prev"/>
		<updated>2011-11-08T02:11:13Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:11, 7 November 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;lt;math&amp;gt;|W_{sl_N}^{top}(D)|&amp;lt;/math&amp;gt; is proportional to the number of planar embeddings of &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; with minor conditions.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;lt;math&amp;gt;|W_{sl_N}^{top}(D)|&amp;lt;/math&amp;gt; is proportional to the number of planar embeddings of &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; with minor conditions.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# If &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is planar, &amp;lt;math&amp;gt;|W_{sl_2}(D)|&amp;lt;/math&amp;gt; is proportional to the number of 4-colorings of the plane divided by &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# If &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is planar, &amp;lt;math&amp;gt;|W_{sl_2}(D)|&amp;lt;/math&amp;gt; is proportional to the number of 4-colorings of the plane divided by &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;#The statement above is equivalent to the four colour theorem.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Iva</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=Notes_for_AKT-091008-1/0:31:58&amp;diff=11034&amp;oldid=prev</id>
		<title>Iva at 13:32, 3 November 2011</title>
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		<updated>2011-11-03T13:32:03Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:32, 3 November 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
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&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Comments: &lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;Comments&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;: &lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;a class=&quot;mw-diff-movedpara-left&quot; title=&quot;Paragraph was moved. Click to jump to new location.&quot; href=&quot;#movedpara_3_0_rhs&quot;&gt;&amp;#x26AB;&lt;/a&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;a name=&quot;movedpara_1_0_lhs&quot;&gt;&lt;/a&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1.&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the&lt;/del&gt; statement is reasonable and doesn&#039;t look hard&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;a class=&quot;mw-diff-movedpara-right&quot; title=&quot;Paragraph was moved. Click to jump to old location.&quot; href=&quot;#movedpara_1_0_lhs&quot;&gt;&amp;#x26AB;&lt;/a&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;a name=&quot;movedpara_3_0_rhs&quot;&gt;&lt;/a&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;#&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The&lt;/ins&gt; statement is reasonable and doesn&#039;t look hard&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2.&lt;/del&gt; &amp;lt;math&amp;gt;|W_{sl_N}^{top}(D)|&amp;lt;/math&amp;gt; is proportional to the number of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;planer&lt;/del&gt; embeddings of &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; with minor conditions&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;#&lt;/ins&gt; &amp;lt;math&amp;gt;|W_{sl_N}^{top}(D)|&amp;lt;/math&amp;gt; is proportional to the number of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;planar&lt;/ins&gt; embeddings of &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; with minor conditions&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3.&lt;/del&gt; If &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is planar &amp;lt;math&amp;gt;|W_{sl_2}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^&lt;/del&gt;(D)|&amp;lt;/math&amp;gt; is proportional to the number of 4-colorings of the plane divided by &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;#&lt;/ins&gt; If &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is planar&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt; &amp;lt;math&amp;gt;|W_{sl_2}(D)|&amp;lt;/math&amp;gt; is proportional to the number of 4-colorings of the plane divided by &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Iva</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=Notes_for_AKT-091008-1/0:31:58&amp;diff=8182&amp;oldid=prev</id>
		<title>Conan777 at 05:25, 14 October 2009</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=Notes_for_AKT-091008-1/0:31:58&amp;diff=8182&amp;oldid=prev"/>
		<updated>2009-10-14T05:25:42Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Comments: &lt;br /&gt;
1. the statement is reasonable and doesn&amp;#039;t look hard&lt;br /&gt;
&lt;br /&gt;
2. &amp;lt;math&amp;gt;|W_{sl_N}^{top}(D)|&amp;lt;/math&amp;gt; is proportional to the number of planer embeddings of &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; with minor conditions&lt;br /&gt;
&lt;br /&gt;
3. If &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is planar &amp;lt;math&amp;gt;|W_{sl_2}^(D)|&amp;lt;/math&amp;gt; is proportional to the number of 4-colorings of the plane divided by &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Conan777</name></author>
	</entry>
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