Data:T(5,2)/Integral Khovanov Homology: Difference between revisions

Latest revision as of 07:10, 27 June 2006

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

@@ Line 1: / Line 1: @@
+{| border=1 cellspacing=0 cellpadding=1
-<math>t^5 \textrm{ZMod}(0) q^{15}+t^5 \textrm{ZMod}(2) q^{13}+t^4 \textrm{ZMod}(0) q^{11}+t^3 \textrm{ZMod}(0) q^{11}+t^3 \textrm{ZMod}(2) q^9+t^2 \textrm{ZMod}(0) q^7+\textrm{ZMod}(0) q^5+\textrm{ZMod}(0) q^3</math>
+|- align=center
+|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math>
+|<math>i=3</math>
+|<math>i=5</math>
+|- align=center
+|<math>r=0</math>
+|bgcolor=yellow|<math>{\mathbb Z}</math>
+|bgcolor=yellow|<math>{\mathbb Z}</math>
+|- align=center
+|<math>r=1</math>
+|bgcolor=yellow|
+|bgcolor=yellow|
+|- align=center
+|<math>r=2</math>
+|bgcolor=yellow|<math>{\mathbb Z}</math>
+|bgcolor=yellow|
+|- align=center
+|<math>r=3</math>
+|bgcolor=yellow|<math>{\mathbb Z}_2</math>
+|bgcolor=yellow|<math>{\mathbb Z}</math>
+|- align=center
+|<math>r=4</math>
+|bgcolor=yellow|<math>{\mathbb Z}</math>
+|bgcolor=yellow|
+|- align=center
+|<math>r=5</math>
+|bgcolor=yellow|<math>{\mathbb Z}_2</math>
+|bgcolor=yellow|<math>{\mathbb Z}</math>
+|}