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First steps in the geography of scale Hilbert structures

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arxiv 0910.3980 v1 pith:YJJJ6KVF submitted 2009-10-21 math.SG

Urs Frauenfelder This is my paper · ORCID
classification math.SG
keywords scalehilbertspacesstructuresclassesdefinedistinguishfirst
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Scale structures were introduced by H.Hofer, K.Wysocki, and E.Zehnder. In this note we define an invariant for scale Hilbert spaces modulo scale isomorphism and use it to distinguish large classes of scale Hilbert spaces.

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  1. On the spectral flow theorem of Robbin-Salamon for finite intervals

    math.SG 2024-12 conditional novelty 7.0 of 10

    A finite-interval version of the Robbin-Salamon spectral flow theorem holds: the Fredholm index of the augmented operator ∂s + A(s) equals the spectral flow of A.

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