Data:K11n27/Integral Khovanov Homology: Difference between revisions
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|<math>r=0</math> |
|<math>r=0</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^3</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{3}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
|- align=center |
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|<math>r=1</math> |
|<math>r=1</math> |
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|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{2}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math> |
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|- align=center |
|- align=center |
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|<math>r=2</math> |
|<math>r=2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^2\oplus{\mathbb Z}_2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}\oplus{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
|- align=center |
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|<math>r=3</math> |
|<math>r=3</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^2\oplus{\mathbb Z}_2^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}\oplus{\mathbb Z}_2^{2}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math> |
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|- align=center |
|- align=center |
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|<math>r=4</math> |
|<math>r=4</math> |
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|<math>{\mathbb Z}</math> |
|<math>{\mathbb Z}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{2}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math> |
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|- align=center |
|- align=center |
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|<math>r=5</math> |
|<math>r=5</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
|- align=center |
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Latest revision as of 08:21, 27 June 2006
| [math]\displaystyle{ \dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z} }[/math] | [math]\displaystyle{ i=3 }[/math] | [math]\displaystyle{ i=5 }[/math] | [math]\displaystyle{ i=7 }[/math] |
| [math]\displaystyle{ r=-2 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | ||
| [math]\displaystyle{ r=-1 }[/math] | [math]\displaystyle{ {\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |
| [math]\displaystyle{ r=0 }[/math] | [math]\displaystyle{ {\mathbb Z}^{3} }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |
| [math]\displaystyle{ r=1 }[/math] | [math]\displaystyle{ {\mathbb Z}\oplus{\mathbb Z}_2^{2} }[/math] | [math]\displaystyle{ {\mathbb Z}^{2} }[/math] | |
| [math]\displaystyle{ r=2 }[/math] | [math]\displaystyle{ {\mathbb Z}^{2}\oplus{\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |
| [math]\displaystyle{ r=3 }[/math] | [math]\displaystyle{ {\mathbb Z}^{2}\oplus{\mathbb Z}_2^{2} }[/math] | [math]\displaystyle{ {\mathbb Z}^{2} }[/math] | |
| [math]\displaystyle{ r=4 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | [math]\displaystyle{ {\mathbb Z}\oplus{\mathbb Z}_2^{2} }[/math] | [math]\displaystyle{ {\mathbb Z}^{2} }[/math] |
| [math]\displaystyle{ r=5 }[/math] | [math]\displaystyle{ {\mathbb Z}^{2} }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |
| [math]\displaystyle{ r=6 }[/math] | [math]\displaystyle{ {\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] |
