Maslov index
= Maslov index
{c}
{title2=$\mu$}
{wiki}
The Maslov index assigns an <integer> to a loop of <Lagrangian subspaces>. Under $\operatorname{LGr}(\mathbb R^{2n})\cong U(n)/O(n)$, it is the degree of the map induced by $A\mapsto\det(A)^2$.