Data
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K11a315/Integral Khovanov Homology
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Revision as of 08:18, 27 June 2006 by
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dim
G
2
r
+
i
KH
Z
r
{\displaystyle \dim {\mathcal {G}}_{2r+i}\operatorname {KH} _{\mathbb {Z} }^{r}}
i
=
−
1
{\displaystyle i=-1}
i
=
1
{\displaystyle i=1}
r
=
−
5
{\displaystyle r=-5}
Z
{\displaystyle {\mathbb {Z} }}
r
=
−
4
{\displaystyle r=-4}
Z
3
⊕
Z
2
{\displaystyle {\mathbb {Z} }^{3}\oplus {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
−
3
{\displaystyle r=-3}
Z
7
⊕
Z
2
3
{\displaystyle {\mathbb {Z} }^{7}\oplus {\mathbb {Z} }_{2}^{3}}
Z
3
{\displaystyle {\mathbb {Z} }^{3}}
r
=
−
2
{\displaystyle r=-2}
Z
10
⊕
Z
2
7
{\displaystyle {\mathbb {Z} }^{10}\oplus {\mathbb {Z} }_{2}^{7}}
Z
7
{\displaystyle {\mathbb {Z} }^{7}}
r
=
−
1
{\displaystyle r=-1}
Z
12
⊕
Z
2
10
{\displaystyle {\mathbb {Z} }^{12}\oplus {\mathbb {Z} }_{2}^{10}}
Z
10
{\displaystyle {\mathbb {Z} }^{10}}
r
=
0
{\displaystyle r=0}
Z
14
⊕
Z
2
12
{\displaystyle {\mathbb {Z} }^{14}\oplus {\mathbb {Z} }_{2}^{12}}
Z
13
{\displaystyle {\mathbb {Z} }^{13}}
r
=
1
{\displaystyle r=1}
Z
12
⊕
Z
2
13
{\displaystyle {\mathbb {Z} }^{12}\oplus {\mathbb {Z} }_{2}^{13}}
Z
13
{\displaystyle {\mathbb {Z} }^{13}}
r
=
2
{\displaystyle r=2}
Z
10
⊕
Z
2
12
{\displaystyle {\mathbb {Z} }^{10}\oplus {\mathbb {Z} }_{2}^{12}}
Z
12
{\displaystyle {\mathbb {Z} }^{12}}
r
=
3
{\displaystyle r=3}
Z
6
⊕
Z
2
10
{\displaystyle {\mathbb {Z} }^{6}\oplus {\mathbb {Z} }_{2}^{10}}
Z
10
{\displaystyle {\mathbb {Z} }^{10}}
r
=
4
{\displaystyle r=4}
Z
3
⊕
Z
2
6
{\displaystyle {\mathbb {Z} }^{3}\oplus {\mathbb {Z} }_{2}^{6}}
Z
6
{\displaystyle {\mathbb {Z} }^{6}}
r
=
5
{\displaystyle r=5}
Z
⊕
Z
2
3
{\displaystyle {\mathbb {Z} }\oplus {\mathbb {Z} }_{2}^{3}}
Z
3
{\displaystyle {\mathbb {Z} }^{3}}
r
=
6
{\displaystyle r=6}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
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