Data:T(15,2)/Integral Khovanov Homology: Difference between revisions
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Revision as of 22:29, 26 June 2006
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{| border=1 cellspacing=0 cellpadding=1
{| border=1 cellspacing=0 cellpadding=1
|- align=center
|- align=center
|<math>\dim{\mathcal G}_{2r+
j
}\operatorname{KH}^r_{\mathbb Z}(T(15,2))</math>
|<math>\dim{\mathcal G}_{2r+
i
}\operatorname{KH}^r_{\mathbb Z}(T(15,2))</math>
|<math>
j
=13</math>
|<math>
i
=13</math>
|<math>
j
=15</math>
|<math>
i
=15</math>
|- align=center
|- align=center
|<math>r=0</math>
|<math>r=0</math>
Revision as of 22:36, 26 June 2006
dim
G
2
r
+
i
KH
Z
r
(
T
(
15
,
2
)
)
{\displaystyle \dim {\mathcal {G}}_{2r+i}\operatorname {KH} _{\mathbb {Z} }^{r}(T(15,2))}
i
=
13
{\displaystyle i=13}
i
=
15
{\displaystyle i=15}
r
=
0
{\displaystyle r=0}
Z
{\displaystyle {\mathbb {Z} }}
Z
{\displaystyle {\mathbb {Z} }}
r
=
1
{\displaystyle r=1}
r
=
2
{\displaystyle r=2}
Z
{\displaystyle {\mathbb {Z} }}
r
=
3
{\displaystyle r=3}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
4
{\displaystyle r=4}
Z
{\displaystyle {\mathbb {Z} }}
r
=
5
{\displaystyle r=5}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
6
{\displaystyle r=6}
Z
{\displaystyle {\mathbb {Z} }}
r
=
7
{\displaystyle r=7}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
8
{\displaystyle r=8}
Z
{\displaystyle {\mathbb {Z} }}
r
=
9
{\displaystyle r=9}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
10
{\displaystyle r=10}
Z
{\displaystyle {\mathbb {Z} }}
r
=
11
{\displaystyle r=11}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
12
{\displaystyle r=12}
Z
{\displaystyle {\mathbb {Z} }}
r
=
13
{\displaystyle r=13}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
14
{\displaystyle r=14}
Z
{\displaystyle {\mathbb {Z} }}
r
=
15
{\displaystyle r=15}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
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