Data:K11a57/Integral Khovanov Homology: Difference between revisions

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{| border=1 cellspacing=0 cellpadding=1
{| border=1 cellspacing=0 cellpadding=1
|- align=center
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|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}(K11a57)</math>
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math>
|<math>i=-3</math>
|<math>i=-3</math>
|<math>i=-1</math>
|<math>i=-1</math>

Revision as of 07:21, 27 June 2006

[math]\displaystyle{ \dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z} }[/math] [math]\displaystyle{ i=-3 }[/math] [math]\displaystyle{ i=-1 }[/math]
[math]\displaystyle{ r=-6 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=-5 }[/math] [math]\displaystyle{ {\mathbb Z}^2\oplus{\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=-4 }[/math] [math]\displaystyle{ {\mathbb Z}^5\oplus{\mathbb Z}_2^2 }[/math] [math]\displaystyle{ {\mathbb Z}^2 }[/math]
[math]\displaystyle{ r=-3 }[/math] [math]\displaystyle{ {\mathbb Z}^7\oplus{\mathbb Z}_2^5 }[/math] [math]\displaystyle{ {\mathbb Z}^5 }[/math]
[math]\displaystyle{ r=-2 }[/math] [math]\displaystyle{ {\mathbb Z}^7\oplus{\mathbb Z}_2^7 }[/math] [math]\displaystyle{ {\mathbb Z}^7 }[/math]
[math]\displaystyle{ r=-1 }[/math] [math]\displaystyle{ {\mathbb Z}^9\oplus{\mathbb Z}_2^7 }[/math] [math]\displaystyle{ {\mathbb Z}^7 }[/math]
[math]\displaystyle{ r=0 }[/math] [math]\displaystyle{ {\mathbb Z}^7\oplus{\mathbb Z}_2^9 }[/math] [math]\displaystyle{ {\mathbb Z}^10 }[/math]
[math]\displaystyle{ r=1 }[/math] [math]\displaystyle{ {\mathbb Z}^6\oplus{\mathbb Z}_2^6 }[/math] [math]\displaystyle{ {\mathbb Z}^6 }[/math]
[math]\displaystyle{ r=2 }[/math] [math]\displaystyle{ {\mathbb Z}^4\oplus{\mathbb Z}_2^6 }[/math] [math]\displaystyle{ {\mathbb Z}^6 }[/math]
[math]\displaystyle{ r=3 }[/math] [math]\displaystyle{ {\mathbb Z}\oplus{\mathbb Z}_2^4 }[/math] [math]\displaystyle{ {\mathbb Z}^4 }[/math]
[math]\displaystyle{ r=4 }[/math] [math]\displaystyle{ {\mathbb Z}\oplus{\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=5 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]