Data:10 113/Integral Khovanov Homology: Difference between revisions
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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}^3\oplus{\mathbb Z}_2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{3}\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}^5\oplus{\mathbb Z}_2^3</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{5}\oplus{\mathbb Z}_2^{3}</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=0</math> |
|<math>r=0</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^9\oplus{\mathbb Z}_2^5</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{9}\oplus{\mathbb Z}_2^{5}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^6</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{6}</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}^9\oplus{\mathbb Z}_2^8</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{9}\oplus{\mathbb Z}_2^{8}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^8</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{8}</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}^10\oplus{\mathbb Z}_2^9</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{10}\oplus{\mathbb Z}_2^{9}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^9</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{9}</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}^8\oplus{\mathbb Z}_2^10</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{8}\oplus{\mathbb Z}_2^{10}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^10</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{10}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=4</math> |
|<math>r=4</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^6\oplus{\mathbb Z}_2^8</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{6}\oplus{\mathbb Z}_2^{8}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^8</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{8}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=5</math> |
|<math>r=5</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^6</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{6}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^6</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{6}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=6</math> |
|<math>r=6</math> |
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|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^4</math> |
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{4}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}^4</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{4}</math> |
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|- align=center |
|- align=center |
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|<math>r=7</math> |
|<math>r=7</math> |
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Latest revision as of 08:06, 27 June 2006
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=1} | |
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=4} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}^{6}\oplus{\mathbb Z}_2^{8}} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}^{8}} |
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=5} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}^{4}\oplus{\mathbb Z}_2^{6}} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}^{6}} |
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=6} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}\oplus{\mathbb Z}_2^{4}} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}^{4}} |
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=7} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}_2} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} |