Talk:Intersection forms (Ex)

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(Created page with "<wikitex>; 1. The intersection form of $F_{g}$ is $g$ </wikitex>")
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<wikitex>;
<wikitex>;
1. The intersection form of $F_{g}$ is $g$
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1. The intersection form of $F_{g}$ is the orthogonal sum of $g$ copies of the standard symplectic form. In the usual basis, this form has the matrix:
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$$\left(
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\begin{array}{cc}
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0 & 1\\
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-1 & 0
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\end{array} \right)
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\oplus \dots \oplus
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\left(
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\begin{array}{cc}
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0 & 1\\
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-1 & 0
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\end{array} \right).
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$$
</wikitex>
</wikitex>

Latest revision as of 05:39, 3 January 2019

1. The intersection form of F_{g} is the orthogonal sum of g copies of the standard symplectic form. In the usual basis, this form has the matrix:

\displaystyle \left( \begin{array}{cc} 0 & 1\\ -1 & 0 \end{array} \right) \oplus \dots \oplus \left( \begin{array}{cc} 0 & 1\\ -1 & 0 \end{array} \right).
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