# Noncommutative Maslov Index and Eta-Forms

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*Charlotte Wahl*

The generalized formula calculates its Chern character in the de
Rham homology of certain dense subalgebras of
\(\mathcal{A}\). The proof is a noncommutative
Atiyah-Patodi-Singer index theorem for a particular Dirac operator
twisted by an \(\mathcal{A}\)-vector bundle. The author develops an
analytic framework for this type of index problem.