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First steps in the geography of scale Hilbert structures

2009/10/21 by Urs Frauenfelder, Frauenfelder, Urs
Materials Science · Mathematics · #46C99 #53D99 #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Supramolecular Self-Assembly in Materials #Symplectic Geometry (math.SG) #math.SG #msc:46C99 #msc:53D99

paper · pdf · doi:10.48550/arxiv.0910.3980

26pages

arxiv created 2009/10/21 · openalex publication_date 2009/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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