Data:K11n130/Integral Khovanov Homology: Difference between revisions

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|- align=center
|- align=center
|<math>r=-5</math>
|<math>r=-5</math>
|bgcolor=yellow|<math>{\mathbb Z}^2\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{2}\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|- align=center
|<math>r=-4</math>
|<math>r=-4</math>
|bgcolor=yellow|<math>{\mathbb Z}^3\oplus{\mathbb Z}_2^2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}\oplus{\mathbb Z}_2^{2}</math>
|bgcolor=yellow|<math>{\mathbb Z}^2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
|- align=center
|- align=center
|<math>r=-3</math>
|<math>r=-3</math>
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^3</math>
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{3}</math>
|bgcolor=yellow|<math>{\mathbb Z}^3</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
|- align=center
|- align=center
|<math>r=-2</math>
|<math>r=-2</math>
|bgcolor=yellow|<math>{\mathbb Z}^5\oplus{\mathbb Z}_2^4</math>
|bgcolor=yellow|<math>{\mathbb Z}^{5}\oplus{\mathbb Z}_2^{4}</math>
|bgcolor=yellow|<math>{\mathbb Z}^4</math>
|bgcolor=yellow|<math>{\mathbb Z}^{4}</math>
|- align=center
|- align=center
|<math>r=-1</math>
|<math>r=-1</math>
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^5</math>
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{5}</math>
|bgcolor=yellow|<math>{\mathbb Z}^5</math>
|bgcolor=yellow|<math>{\mathbb Z}^{5}</math>
|- align=center
|- align=center
|<math>r=0</math>
|<math>r=0</math>
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^4</math>
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{4}</math>
|bgcolor=yellow|<math>{\mathbb Z}^5</math>
|bgcolor=yellow|<math>{\mathbb Z}^{5}</math>
|- align=center
|- align=center
|<math>r=1</math>
|<math>r=1</math>
|bgcolor=yellow|<math>{\mathbb Z}^3\oplus{\mathbb Z}_2^3</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}\oplus{\mathbb Z}_2^{3}</math>
|bgcolor=yellow|<math>{\mathbb Z}^3</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
|- align=center
|- align=center
|<math>r=2</math>
|<math>r=2</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^3</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{3}</math>
|bgcolor=yellow|<math>{\mathbb Z}^3</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
|- align=center
|- align=center
|<math>r=3</math>
|<math>r=3</math>

Latest revision as of 08:25, 27 June 2006

[math]\displaystyle{ \dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z} }[/math] [math]\displaystyle{ i=-1 }[/math] [math]\displaystyle{ i=1 }[/math]
[math]\displaystyle{ r=-6 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=-5 }[/math] [math]\displaystyle{ {\mathbb Z}^{2}\oplus{\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=-4 }[/math] [math]\displaystyle{ {\mathbb Z}^{3}\oplus{\mathbb Z}_2^{2} }[/math] [math]\displaystyle{ {\mathbb Z}^{2} }[/math]
[math]\displaystyle{ r=-3 }[/math] [math]\displaystyle{ {\mathbb Z}^{4}\oplus{\mathbb Z}_2^{3} }[/math] [math]\displaystyle{ {\mathbb Z}^{3} }[/math]
[math]\displaystyle{ r=-2 }[/math] [math]\displaystyle{ {\mathbb Z}^{5}\oplus{\mathbb Z}_2^{4} }[/math] [math]\displaystyle{ {\mathbb Z}^{4} }[/math]
[math]\displaystyle{ r=-1 }[/math] [math]\displaystyle{ {\mathbb Z}^{4}\oplus{\mathbb Z}_2^{5} }[/math] [math]\displaystyle{ {\mathbb Z}^{5} }[/math]
[math]\displaystyle{ r=0 }[/math] [math]\displaystyle{ {\mathbb Z}^{4}\oplus{\mathbb Z}_2^{4} }[/math] [math]\displaystyle{ {\mathbb Z}^{5} }[/math]
[math]\displaystyle{ r=1 }[/math] [math]\displaystyle{ {\mathbb Z}^{3}\oplus{\mathbb Z}_2^{3} }[/math] [math]\displaystyle{ {\mathbb Z}^{3} }[/math]
[math]\displaystyle{ r=2 }[/math] [math]\displaystyle{ {\mathbb Z}\oplus{\mathbb Z}_2^{3} }[/math] [math]\displaystyle{ {\mathbb Z}^{3} }[/math]
[math]\displaystyle{ r=3 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
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