Equilibrium stressability of multidimensional frameworks

We prove an equilibrium stressability criterion for trivalent multidimensional frameworks. The criterion appears in different languages: (1) in terms of stress monodromies, (2) in terms of surgeries, (3) in terms of exact discrete 1-forms, and (4) in Cayley algebra terms.

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Bibliographic Details
Published in:European journal of mathematics 2022-03, Vol.8 (1), p.33-61
Main Authors: Karpenkov, Oleg, Müller, Christian, Panina, Gaiane, Servatius, Brigitte, Servatius, Herman, Siersma, Dirk
Format: Article
Language:English
Subjects:
Algebraic Geometry
Criteria
Mathematics
Mathematics and Statistics
Research Article
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Summary:We prove an equilibrium stressability criterion for trivalent multidimensional frameworks. The criterion appears in different languages: (1) in terms of stress monodromies, (2) in terms of surgeries, (3) in terms of exact discrete 1-forms, and (4) in Cayley algebra terms.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-021-00523-3