Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional Quaternionic case


Abstract in English

This paper is devoted to the construction of differential geometric invariants for the classification of Quaternionic vector bundles. Provided that the base space is a smooth manifold of dimension two or three endowed with an involution that leaves fixed only a finite number of points, it is possible to prove that the Wess-Zumino term and the Chern-Simons invariant yield topological quantities able to distinguish between inequivalent realization of Quaternionic structures.

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