Data:T(9,2)/Integral Khovanov Homology: Difference between revisions

From Knot Atlas
Jump to navigationJump to search
No edit summary
 
No edit summary
 
(3 intermediate revisions by the same user not shown)
Line 1: Line 1:
{| border=1 cellspacing=0 cellpadding=1
<math>t^9 \textrm{ZMod}(0) q^{27}+t^9 \textrm{ZMod}(2) q^{25}+t^8 \textrm{ZMod}(0) q^{23}+t^7 \textrm{ZMod}(0) q^{23}+t^7 \textrm{ZMod}(2) q^{21}+t^6 \textrm{ZMod}(0) q^{19}+t^5 \textrm{ZMod}(0) q^{19}+t^5 \textrm{ZMod}(2) q^{17}+t^4 \textrm{ZMod}(0) q^{15}+t^3 \textrm{ZMod}(0) q^{15}+t^3 \textrm{ZMod}(2) q^{13}+t^2 \textrm{ZMod}(0) q^{11}+\textrm{ZMod}(0) q^9+\textrm{ZMod}(0) q^7</math>
|- align=center
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math>
|<math>i=7</math>
|<math>i=9</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>
|- align=center
|<math>r=6</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=7</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=8</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=9</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|}

Latest revision as of 07:10, 27 June 2006

Retrieved from "https://katlas.org/index.php?title=Data:T(9,2)/Integral_Khovanov_Homology&oldid=1103465"