Projector calculus on Grassmannians expresses quantum metric, curvature, geodesic distance, Wilson-loop determinants, and topological invariants through the gauge-invariant differential dP.
The gauge transfor- mations Φi = ΨiRi leaveP i invariant and give Φ† 1Φ2 = Σ
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Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology
Projector calculus on Grassmannians expresses quantum metric, curvature, geodesic distance, Wilson-loop determinants, and topological invariants through the gauge-invariant differential dP.