Noncommutative Maslov Index and Eta forms is popular PDF and ePub book, written by Charlotte Wahl in 2007, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Noncommutative Maslov Index and Eta forms can be Read Online from any device for your convenience.
Noncommutative Maslov Index and Eta forms Book PDF Summary
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.
Detail Book of Noncommutative Maslov Index and Eta forms PDF
- Author : Charlotte Wahl
- Release : 21 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 1470404915
- Genre : Mathematics
- Total Page : 118 pages
- Language : English
- PDF File Size : 11,8 Mb
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