Data:9 41/Integral Khovanov Homology: Difference between revisions
From Knot Atlas
Jump to navigationJump to search
DrorsRobot (talk | contribs) No edit summary |
DrorsRobot (talk | contribs) No edit summary |
||
(One intermediate revision by the same user not shown) | |||
Line 1: | Line 1: | ||
{| border=1 cellspacing=0 cellpadding=1 |
{| border=1 cellspacing=0 cellpadding=1 |
||
|- align=center |
|- align=center |
||
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z} |
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math> |
||
|<math>i=-1</math> |
|<math>i=-1</math> |
||
|<math>i=1</math> |
|<math>i=1</math> |
||
Line 10: | Line 10: | ||
|- align=center |
|- align=center |
||
|<math>r=-5</math> |
|<math>r=-5</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> |
|bgcolor=yellow|<math>{\mathbb Z}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=-4</math> |
|<math>r=-4</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^3\oplus{\mathbb Z}_2^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{3}\oplus{\mathbb Z}_2^{2}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^2</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=-3</math> |
|<math>r=-3</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^3</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{3}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^3</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{3}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=-2</math> |
|<math>r=-2</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^4</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{4}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^4</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{4}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=-1</math> |
|<math>r=-1</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^4</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{4}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^4</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{4}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=0</math> |
|<math>r=0</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^4</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{4}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^5</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{5}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=1</math> |
|<math>r=1</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^2\oplus{\mathbb Z}_2^3</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{2}\oplus{\mathbb Z}_2^{3}</math> |
||
|bgcolor=yellow|<math>{\mathbb Z}^3</math> |
|bgcolor=yellow|<math>{\mathbb Z}^{3}</math> |
||
|- align=center |
|- align=center |
||
|<math>r=2</math> |
|<math>r=2</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 |
|- align=center |
||
|<math>r=3</math> |
|<math>r=3</math> |