Data:10 3/Integral Khovanov Homology: Difference between revisions
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{| border=1 cellspacing=0 cellpadding=1 |
{| border=1 cellspacing=0 cellpadding=1 |
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|- align=center |
|- align=center |
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|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z} |
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math> |
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|<math>i=-1</math> |
|<math>i=-1</math> |
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|<math>i=1</math> |
|<math>i=1</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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|bgcolor=yellow|<math>{\mathbb Z}^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math> |
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|bgcolor=yellow| |
|bgcolor=yellow| |
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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}\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=-1</math> |
|<math>r=-1</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> |
||
|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=0</math> |
|<math>r=0</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}^3</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{3}</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}^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 |
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|<math>r=2</math> |
|<math>r=2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}_2^{2}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math> |
||
|- align=center |
|- align=center |
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|<math>r=3</math> |
|<math>r=3</math> |