Data
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L11n344/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
=
−
3
{\displaystyle i=-3}
i
=
−
1
{\displaystyle i=-1}
r
=
−
7
{\displaystyle r=-7}
Z
{\displaystyle {\mathbb {Z} }}
r
=
−
6
{\displaystyle r=-6}
Z
2
⊕
Z
2
{\displaystyle {\mathbb {Z} }^{2}\oplus {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
−
5
{\displaystyle r=-5}
Z
4
⊕
Z
2
2
{\displaystyle {\mathbb {Z} }^{4}\oplus {\mathbb {Z} }_{2}^{2}}
Z
2
{\displaystyle {\mathbb {Z} }^{2}}
r
=
−
4
{\displaystyle r=-4}
Z
5
⊕
Z
2
4
{\displaystyle {\mathbb {Z} }^{5}\oplus {\mathbb {Z} }_{2}^{4}}
Z
5
{\displaystyle {\mathbb {Z} }^{5}}
r
=
−
3
{\displaystyle r=-3}
Z
5
⊕
Z
2
4
{\displaystyle {\mathbb {Z} }^{5}\oplus {\mathbb {Z} }_{2}^{4}}
Z
4
{\displaystyle {\mathbb {Z} }^{4}}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=-2}
Z
6
⊕
Z
2
5
{\displaystyle {\mathbb {Z} }^{6}\oplus {\mathbb {Z} }_{2}^{5}}
Z
5
{\displaystyle {\mathbb {Z} }^{5}}
r
=
−
1
{\displaystyle r=-1}
Z
3
⊕
Z
2
6
{\displaystyle {\mathbb {Z} }^{3}\oplus {\mathbb {Z} }_{2}^{6}}
Z
6
{\displaystyle {\mathbb {Z} }^{6}}
r
=
0
{\displaystyle r=0}
Z
4
⊕
Z
2
3
{\displaystyle {\mathbb {Z} }^{4}\oplus {\mathbb {Z} }_{2}^{3}}
Z
6
{\displaystyle {\mathbb {Z} }^{6}}
r
=
1
{\displaystyle r=1}
Z
2
⊕
Z
2
{\displaystyle {\mathbb {Z} }^{2}\oplus {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
2
{\displaystyle r=2}
Z
2
2
{\displaystyle {\mathbb {Z} }_{2}^{2}}
Z
2
{\displaystyle {\mathbb {Z} }^{2}}
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