Template:Khovanov Homology: Difference between revisions
From Knot Atlas
Jump to navigationJump to search
m (Reverted edit of 69.79.69.173, changed back to last version by Drorbn) |
|||
| (24 intermediate revisions by 7 users not shown) | |||
| Line 1: | Line 1: | ||
<div style="border: solid pink 1px"> |
|||
===[[Khovanov Homology]]=== |
===[[Khovanov Homology]]=== |
||
{| width=98% |
|||
{| |
|||
|- valign=top |
|- valign=top |
||
|width=30%|The coefficients of the monomials <math>t^rq^j</math> are shown, along with their alternating sums <math>\chi</math> (fixed <math>j</math>, alternation over <math>r</math>). The squares with <font class=HLYellow>yellow</font> highlighting are those on the "critical diagonals", where <math>j-2r=s+1</math> or <math>j-2r=s |
|width=30%|The coefficients of the monomials <math>t^rq^j</math> are shown, along with their alternating sums <math>\chi</math> (fixed <math>j</math>, alternation over <math>r</math>). The squares with <font class=HLYellow>yellow</font> highlighting are those on the "critical diagonals", where <math>j-2r=s+1</math> or <math>j-2r=s-1</math>, where <math>s=</math>{{Data:{{PAGENAME}}/Signature}} is the signature of {{PAGENAME}}. Nonzero entries off the critical diagonals (if any exist) are highlighted in <font class=HLRed>red</font>. |
||
| |
| |
||
|{{Data:{{PAGENAME}}/KhovanovTable}} |
|||
|<center>{{{table}}}</center> |
|||
|} |
|} |
||
{| width=98% |
|||
|- valign=top |
|||
|width=30%|[[Khovanov Homology|Integral Khovanov Homology]] |
|||
([[Data:{{PAGENAME}}/Integral Khovanov Homology|db]], [[Integral Khovanov Homology data source|data source]]) |
|||
| |
|||
|{{Data:{{PAGENAME}}/Integral Khovanov Homology}} |
|||
|} |
|||
</div> |
|||
Latest revision as of 03:15, 10 May 2007
Khovanov Homology
| The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ). The squares with yellow highlighting are those on the "critical diagonals", where or , where Data:Khovanov Homology/Signature is the signature of Khovanov Homology. Nonzero entries off the critical diagonals (if any exist) are highlighted in red. | Data:Khovanov Homology/KhovanovTable |
| Integral Khovanov Homology
(db, data source) |
Data:Khovanov Homology/Integral Khovanov Homology |
