Template:Khovanov Homology: Difference between revisions

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===[[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+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>.
|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>.
|&nbsp;&nbsp;
|&nbsp;&nbsp;
|{{Data:{{PAGENAME}}/KhovanovTable}}
|{{{table}}}
|}

{| width=98%
|- valign=top
|width=30%|[[Khovanov Homology|Integral Khovanov Homology]]
([[Data:{{PAGENAME}}/Integral Khovanov Homology|db]], [[Integral Khovanov Homology data source|data source]])
|&nbsp;&nbsp;
|{{Data:{{PAGENAME}}/Integral Khovanov Homology}}
|}
|}
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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