Data:L10n23/Integral Khovanov Homology: Difference between revisions

Latest revision as of 08:35, 27 June 2006

$\dim {\mathcal {G}}_{2r+i}\operatorname {KH} _{\mathbb {Z} }^{r}$	$i=2$	$i=4$	$i=6$
$r=-2$		${\mathbb {Z} }$
$r=-1$		${\mathbb {Z} }_{2}$	${\mathbb {Z} }$
$r=0$		${\mathbb {Z} }^{3}$	${\mathbb {Z} }^{2}$
$r=1$		${\mathbb {Z} }\oplus {\mathbb {Z} }_{2}$	${\mathbb {Z} }$
$r=2$		${\mathbb {Z} }^{2}\oplus {\mathbb {Z} }_{2}$	${\mathbb {Z} }$
$r=3$		${\mathbb {Z} }\oplus {\mathbb {Z} }_{2}^{2}$	${\mathbb {Z} }^{2}$
$r=4$	${\mathbb {Z} }$	${\mathbb {Z} }^{2}\oplus {\mathbb {Z} }_{2}$	${\mathbb {Z} }$
$r=5$		${\mathbb {Z} }\oplus {\mathbb {Z} }_{2}$	${\mathbb {Z} }^{2}$

@@ Line 18: / Line 18: @@
 |<math>r=0</math>
 |
-|bgcolor=yellow|<math>{\mathbb Z}^3</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
 |- align=center
 |<math>r=1</math>
@@ Line 28: / Line 28: @@
 |<math>r=2</math>
 |
-|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>
 |- align=center
 |<math>r=3</math>
 |
-|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{2}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
 |- align=center
 |<math>r=4</math>
 |<math>{\mathbb Z}</math>
-|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>
 |- align=center
@@ Line 44: / Line 44: @@
 |
 |bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2</math>
-|bgcolor=yellow|<math>{\mathbb Z}^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
 |}