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Charlotte Wahl
Noncommutative Maslov Index and Eta-Forms [PDF ebook]

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的封面 Charlotte Wahl: Noncommutative Maslov Index and Eta-Forms (PDF)

The author defines and proves a noncommutative generalization of a formula relating the Maslov index of a triple of Lagrangian subspaces of a symplectic vector space to eta-invariants associated to a pair of Lagrangian subspaces. The noncommutative Maslov index, defined for modules over a $C^*$-algebra $/mathcal{A}$, is an element in $K_0(/mathcal{A})$. 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.

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格式 PDF ● 网页 118 ● ISBN 9781470404918 ● 出版者 American Mathematical Society ● 下载 3 时 ● 货币 EUR ● ID 6613077 ● 复制保护 Adobe DRM

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