Data:L11a8/Integral Khovanov Homology: Difference between revisions

Latest revision as of 08:38, 27 June 2006

$\dim {\mathcal {G}}_{2r+i}\operatorname {KH} _{\mathbb {Z} }^{r}$	$i=-2$	$i=0$
$r=-7$	${\mathbb {Z} }$
$r=-6$	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}^{3}\oplus{\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}}
$r=-5$	${\mathbb {Z} }^{7}\oplus {\mathbb {Z} }_{2}^{3}$	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}^{3}}
$r=-4$	${\mathbb {Z} }^{10}\oplus {\mathbb {Z} }_{2}^{7}$	${\mathbb {Z} }^{7}$
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 r=-3}	${\mathbb {Z} }^{13}\oplus {\mathbb {Z} }_{2}^{10}$	${\mathbb {Z} }^{10}$
$r=-2$	${\mathbb {Z} }^{14}\oplus {\mathbb {Z} }_{2}^{13}$	${\mathbb {Z} }^{13}$
$r=-1$	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 {\mathbb Z}^{13}\oplus{\mathbb Z}_2^{14}}	${\mathbb {Z} }^{14}$
$r=0$	${\mathbb {Z} }^{12}\oplus {\mathbb {Z} }_{2}^{13}$	${\mathbb {Z} }^{15}$
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=1}	${\mathbb {Z} }^{7}\oplus {\mathbb {Z} }_{2}^{10}$	${\mathbb {Z} }^{10}$
$r=2$	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}^{4}\oplus{\mathbb Z}_2^{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}^{7}}
$r=3$	${\mathbb {Z} }\oplus {\mathbb {Z} }_{2}^{4}$	${\mathbb {Z} }^{4}$
$r=4$	${\mathbb {Z} }_{2}$	${\mathbb {Z} }$

@@ Line 10: / Line 10: @@
 |- align=center
 |<math>r=-6</math>
-|bgcolor=yellow|<math>{\mathbb Z}^3\oplus{\mathbb Z}_2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{3}\oplus{\mathbb Z}_2</math>
 |bgcolor=yellow|<math>{\mathbb Z}</math>
 |- align=center
 |<math>r=-5</math>
-|bgcolor=yellow|<math>{\mathbb Z}^7\oplus{\mathbb Z}_2^3</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{7}\oplus{\mathbb Z}_2^{3}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^3</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
 |- align=center
 |<math>r=-4</math>
-|bgcolor=yellow|<math>{\mathbb Z}^10\oplus{\mathbb Z}_2^7</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{10}\oplus{\mathbb Z}_2^{7}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^7</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{7}</math>
 |- align=center
 |<math>r=-3</math>
-|bgcolor=yellow|<math>{\mathbb Z}^13\oplus{\mathbb Z}_2^10</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{13}\oplus{\mathbb Z}_2^{10}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^10</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{10}</math>
 |- align=center
 |<math>r=-2</math>
-|bgcolor=yellow|<math>{\mathbb Z}^14\oplus{\mathbb Z}_2^13</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{14}\oplus{\mathbb Z}_2^{13}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^13</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{13}</math>
 |- align=center
 |<math>r=-1</math>
-|bgcolor=yellow|<math>{\mathbb Z}^13\oplus{\mathbb Z}_2^14</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{13}\oplus{\mathbb Z}_2^{14}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^14</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{14}</math>
 |- align=center
 |<math>r=0</math>
-|bgcolor=yellow|<math>{\mathbb Z}^12\oplus{\mathbb Z}_2^13</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{12}\oplus{\mathbb Z}_2^{13}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^15</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{15}</math>
 |- align=center
 |<math>r=1</math>
-|bgcolor=yellow|<math>{\mathbb Z}^7\oplus{\mathbb Z}_2^10</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{7}\oplus{\mathbb Z}_2^{10}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^10</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{10}</math>
 |- align=center
 |<math>r=2</math>
-|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^7</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{7}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^7</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{7}</math>
 |- align=center
 |<math>r=3</math>
-|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^4</math>
+|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{4}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^4</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{4}</math>
 |- align=center
 |<math>r=4</math>

Data:L11a8/Integral Khovanov Homology: Difference between revisions

Latest revision as of 08:38, 27 June 2006

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