Data:L10n108/Integral Khovanov Homology: Difference between revisions

Latest revision as of 08:37, 27 June 2006

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

@@ Line 8: / Line 8: @@
 |<math>r=-6</math>
 |bgcolor=yellow|<math>{\mathbb Z}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
 |<math>{\mathbb Z}</math>
 |- align=center
 |<math>r=-5</math>
-|bgcolor=yellow|<math>{\mathbb Z}^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
 |bgcolor=yellow|
 |
 |- align=center
 |<math>r=-4</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}^4</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{4}</math>
-|<math>{\mathbb Z}^2</math>
+|<math>{\mathbb Z}^{2}</math>
 |- align=center
 |<math>r=-3</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=-2</math>
-|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}^4</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{4}</math>
 |<math>{\mathbb Z}</math>
 |- align=center
@@ Line 37: / Line 37: @@
 |- align=center
 |<math>r=0</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}^3</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
 |
 |- align=center