Data:L10n105/Integral Khovanov Homology: Difference between revisions

Latest revision as of 09:37, 27 June 2006

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

@@ Line 6: / Line 6: @@
 |- align=center
 |<math>r=-4</math>
-|bgcolor=yellow|<math>{\mathbb Z}^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
 |- align=center
 |<math>r=-3</math>
@@ Line 14: / Line 14: @@
 |- align=center
 |<math>r=-2</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}^3</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
 |- align=center
 |<math>r=-1</math>
@@ Line 22: / Line 22: @@
 |- align=center
 |<math>r=0</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}^3</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
 |- align=center
 |<math>r=1</math>
@@ Line 30: / Line 30: @@
 |- align=center
 |<math>r=2</math>
-|bgcolor=yellow|<math>{\mathbb Z}^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
-|bgcolor=yellow|<math>{\mathbb Z}^2</math>
+|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
 |}