Data
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L11n59/Integral Khovanov Homology
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dim
G
2
r
+
i
KH
Z
r
{\displaystyle \dim {\mathcal {G}}_{2r+i}\operatorname {KH} _{\mathbb {Z} }^{r}}
i
=
0
{\displaystyle i=0}
i
=
2
{\displaystyle i=2}
i
=
4
{\displaystyle i=4}
r
=
−
4
{\displaystyle r=-4}
Z
{\displaystyle {\mathbb {Z} }}
Z
{\displaystyle {\mathbb {Z} }}
r
=
−
3
{\displaystyle r=-3}
r
=
−
2
{\displaystyle r=-2}
Z
{\displaystyle {\mathbb {Z} }}
r
=
−
1
{\displaystyle r=-1}
Z
{\displaystyle {\mathbb {Z} }}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
0
{\displaystyle r=0}
Z
4
⊕
Z
2
{\displaystyle {\mathbb {Z} }^{4}\oplus {\mathbb {Z} }_{2}}
Z
3
{\displaystyle {\mathbb {Z} }^{3}}
r
=
1
{\displaystyle r=1}
Z
3
⊕
Z
2
2
{\displaystyle {\mathbb {Z} }^{3}\oplus {\mathbb {Z} }_{2}^{2}}
Z
3
{\displaystyle {\mathbb {Z} }^{3}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
2
{\displaystyle r=2}
Z
4
⊕
Z
2
3
{\displaystyle {\mathbb {Z} }^{4}\oplus {\mathbb {Z} }_{2}^{3}}
Z
3
{\displaystyle {\mathbb {Z} }^{3}}
r
=
3
{\displaystyle r=3}
Z
3
⊕
Z
2
4
{\displaystyle {\mathbb {Z} }^{3}\oplus {\mathbb {Z} }_{2}^{4}}
Z
4
{\displaystyle {\mathbb {Z} }^{4}}
r
=
4
{\displaystyle r=4}
Z
3
⊕
Z
2
3
{\displaystyle {\mathbb {Z} }^{3}\oplus {\mathbb {Z} }_{2}^{3}}
Z
3
{\displaystyle {\mathbb {Z} }^{3}}
r
=
5
{\displaystyle r=5}
Z
2
⊕
Z
2
3
{\displaystyle {\mathbb {Z} }^{2}\oplus {\mathbb {Z} }_{2}^{3}}
Z
3
{\displaystyle {\mathbb {Z} }^{3}}
r
=
6
{\displaystyle r=6}
Z
⊕
Z
2
2
{\displaystyle {\mathbb {Z} }\oplus {\mathbb {Z} }_{2}^{2}}
Z
2
{\displaystyle {\mathbb {Z} }^{2}}
r
=
7
{\displaystyle r=7}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
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