Data:T(7,4)/Integral Khovanov Homology: Difference between revisions
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|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math> |
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|<math> |
|<math>i=11</math> |
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|<math> |
|<math>i=13</math> |
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|<math> |
|<math>i=15</math> |
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|<math> |
|<math>i=17</math> |
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|<math> |
|<math>i=19</math> |
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|- align=center |
|- align=center |
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|<math>r=0</math> |
|<math>r=0</math> |
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|<math>r=8</math> |
|<math>r=8</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}_2\oplus{\mathbb Z}_4</math> |
|bgcolor=yellow|<math>{\mathbb Z}_2\oplus{\mathbb Z}_4</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math> |
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|<math>r=11</math> |
|<math>r=11</math> |
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|<math>{\mathbb Z}_2</math> |
|<math>{\mathbb Z}_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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Latest revision as of 09:00, 27 June 2006
| [math]\displaystyle{ \dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z} }[/math] | [math]\displaystyle{ i=11 }[/math] | [math]\displaystyle{ i=13 }[/math] | [math]\displaystyle{ i=15 }[/math] | [math]\displaystyle{ i=17 }[/math] | [math]\displaystyle{ i=19 }[/math] |
| [math]\displaystyle{ r=0 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |||
| [math]\displaystyle{ r=1 }[/math] | |||||
| [math]\displaystyle{ r=2 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | ||||
| [math]\displaystyle{ r=3 }[/math] | [math]\displaystyle{ {\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |||
| [math]\displaystyle{ r=4 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |||
| [math]\displaystyle{ r=5 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |||
| [math]\displaystyle{ r=6 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |||
| [math]\displaystyle{ r=7 }[/math] | [math]\displaystyle{ {\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z}\oplus{\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | ||
| [math]\displaystyle{ r=8 }[/math] | [math]\displaystyle{ {\mathbb Z}^{2} }[/math] | ||||
| [math]\displaystyle{ r=9 }[/math] | [math]\displaystyle{ {\mathbb Z}_2\oplus{\mathbb Z}_4 }[/math] | [math]\displaystyle{ {\mathbb Z}^{2} }[/math] | |||
| [math]\displaystyle{ r=10 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | [math]\displaystyle{ {\mathbb Z}\oplus{\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z}_2 }[/math] | ||
| [math]\displaystyle{ r=11 }[/math] | [math]\displaystyle{ {\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z}^{2}\oplus{\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | ||
| [math]\displaystyle{ r=12 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | [math]\displaystyle{ {\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | ||
| [math]\displaystyle{ r=13 }[/math] | [math]\displaystyle{ {\mathbb Z}_4 }[/math] | [math]\displaystyle{ {\mathbb Z} }[/math] | |||
| [math]\displaystyle{ r=14 }[/math] | [math]\displaystyle{ {\mathbb Z}_2 }[/math] | [math]\displaystyle{ {\mathbb Z}_2 }[/math] |
