Quadratic formations (Ex)

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This exercise is taken from {{citeD|Ranicki2002|p. 318}} and we use the notation found there.
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Show that the graphs $\Gamma_{(K, \lambda)}$ of -$\epsilon$-quadratic forms $(K,\lambda, \mu)$ are precisely the Lagrangians of $H_\epsilon(K)$ which are the direct complements of $K^*$.
Show that the graphs $\Gamma_{(K, \lambda)}$ of -$\epsilon$-quadratic forms $(K,\lambda, \mu)$ are precisely the Lagrangians of $H_\epsilon(K)$ which are the direct complements of $K^*$.
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Revision as of 13:17, 25 March 2012

This exercise is taken from [Ranicki2002, p. 318] and we use the notation found there.

Show that the graphs \Gamma_{(K, \lambda)} of -\epsilon-quadratic forms (K,\lambda, \mu) are precisely the Lagrangians of H_\epsilon(K) which are the direct complements of K^*.

References

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