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Noncommutative Maslov index and \(\eta \)-forms reconsidered

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Abstract

Invariants for Lagrangians of symplectic vector spaces, such as the Maslov index for paths and the Maslov triple index, have many applications in symplectic geometry and index theory. Here we study the properties of their generalizations for modules over \(C^{*}\)-algebras and correct an error in our earlier work on the subject.

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Acknowledgments

I would like to thank the organizers of the 2014 AIM-meeting “The facets of the Maslov index” and of the Minisymposium “Symplectic structures in geometric analysis” at the 2015 annual DMV-meeting for the invitation. The questions discussed at the first workshop motivated the reconsideration of my earlier results, which was then presented at the second workshop.

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  1. Leibniz-Archiv, Waterloostr. 8, 30169, Hannover, Germany

    Charlotte Wahl

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  1. Charlotte Wahl
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Correspondence to Charlotte Wahl.

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Wahl, C. Noncommutative Maslov index and \(\eta \)-forms reconsidered. Abh. Math. Semin. Univ. Hambg. 86, 177–188 (2016). https://doi.org/10.1007/s12188-016-0131-8

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  • DOI: https://doi.org/10.1007/s12188-016-0131-8

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