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math.AT2023
A Cosheaf Theory of Reciprocal Figures: Planar and Higher Genus Graphic Statics
Zoe Cooperband, Robert Ghrist, Jakob Hansen
This paper introduces cellular sheaf theory to graphical methods and reciprocal constructions in structural engineering. The elementary mechanics and statics of trusses are derived…
math.AT2018
Toward a Spectral Theory of Cellular Sheaves
Jakob Hansen, Robert Ghrist
This paper outlines a program in what one might call spectral sheaf theory --- an extension of spectral graph theory to cellular sheaves. By lifting the combinatorial graph Laplaci…