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Symplectic *versus* Prequantum Induction

Tudor S. Ratiu, Francois Ziegler

18/7/20 Published in : arXiv:2007.09434

This paper establishes two basic properties of the symplectic induction construction of Kazhdan, Kostant, Sternberg, and Weinstein: Induction in Stages and Frobenius Reciprocity. It then argues that a *prequantum* version of the construction, of which we prove the same two properties, is in fact the appropriate framework to geometrically model representation-theoretic phenomena.

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Phase I & II research project(s)

  • Quantum Systems
  • Field Theory
  • Geometry, Topology and Physics

On the rational homotopy type of embedding spaces of manifolds in R^n

S matrix for a three-parameter integrable deformation of AdS_3 x S^3 strings

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The National Centres of Competence in Research (NCCRs) are a funding scheme of the Swiss National Science Foundation

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