Symplectic spinors, holonomy and Maslov index
Symplectic spinors, holonomy and Maslov index
In this note it is shown that the Maslov index for pairs of Lagrangian paths as introduced by Leray and later canonized by Cappell, Lee and Miller appears by parallel transporting elements of (a certain complex line-subbundle of) the symplectic spinor bundle over Euclidean space, when pulled back to an …