Hodge Theory and the Art of Paper Folding

  • Michael Kapovich

    University of California at Davis, United States
  • John J. Millson

    University of Maryland, College Park, USA


Using Hodge theory and _L_2-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 _R_3.

Cite this article

Michael Kapovich, John J. Millson, Hodge Theory and the Art of Paper Folding. Publ. Res. Inst. Math. Sci. 33 (1997), no. 1, pp. 1–31

DOI 10.2977/PRIMS/1195145531