Open AccessHodge Theory and the Art of Paper Folding
Author(s) -
Michael Kapovich,
John J. Millson
Publication year - 1997
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195145531
Subject(s) - mathematics , folding (dsp implementation) , hodge theory , mathematical economics , pure mathematics , calculus (dental) , algebra over a field , orthodontics , medicine , structural engineering , engineering , cohomology
Using Hodge theory and L2-cohomology we study the singularities and topology of configuration and moduli spaces of polygonal linkages in the 2-sphere. As a consequence we describe the local deformation space of a folded paper cone in R3.
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