Stokes’ Theorem for Hypergestures

  • Guerino Mazzola
  • René Guitart
  • Jocelyn Ho
  • Alex Lubet
  • Maria Mannone
  • Matt Rahaim
  • Florian Thalmann
Chapter
Part of the Computational Music Science book series (CMS)

Summary

As singular homology is strongly related to de Rham cohomology, in particular by Stokes’ classical theorem, it is natural to ask for such a theorem in our context of hypergestures. But there is a deeper reason for such a project, namely the idea that music theory of hypergestures could provide us with models of energy exchange in gestural interaction. In such a (still hypothetical) theory, Stokes’ theorem would play a crucial role regarding questions of energy conservation (integral invariants).

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Guerino Mazzola
    • 1
  • René Guitart
    • 2
  • Jocelyn Ho
    • 3
  • Alex Lubet
    • 1
  • Maria Mannone
    • 1
  • Matt Rahaim
    • 1
  • Florian Thalmann
    • 4
  1. 1.School of MusicUniversity of MinnesotaMinneapolisUSA
  2. 2.Institut de Mathématiques de JussieuUniversité Diderot Paris 7ParisFrance
  3. 3.Department of MusicUCLA Herb Alpert School of MusicLos AngelesUSA
  4. 4.School of Electronic Engineering and Computer ScienceQueen Mary University of LondonLondonUK

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