How do I show that Maslov index satisfies the next property (product property).(adsbygoogle = window.adsbygoogle || []).push({});

Let [itex]\Lambda : \mathbb{R} / \mathbb{Z} \rightarrow \mathcal{L}(n)[/itex], and [itex]\Psi : \mathbb{R}/\mathbb{Z} \rightarrow Sp(2n)[/itex] be two loops, then if [itex]\mu[/itex] is defined as the Maslov index then [itex] \mu(\Psi \Lambda )= \mu(\Lambda)+2\mu(\Psi)[/itex].

I have seen the proof in Mcduff of the Homotopy axiom of this index thought I am not sure how to use it to show the above.

Any hints?

Thanks, sorry if it's indeed that much easy.

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# Maslov Index property.

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