Algebraic Symplectic Reduction and Quantization of Singular Spaces

Victor Palamodov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The algebraic method of singular reduction is applied for non regular group action on manifolds which provides singular symplectic spaces. The problem of deformation quantization of the singular surfaces is the focus. For some examples of singular Poisson spaces Grönewold–Moyal series is explicitly constructed and convergence is checked. Some examples of deformation quantization of singular Poisson spaces are considered in detail.

Original languageEnglish
Pages (from-to)178-190
Number of pages13
JournalJournal of Mathematical Physics, Analysis, Geometry
Volume19
Issue number1
DOIs
StatePublished - 2023

Keywords

  • Grönewold–Moyal star product
  • K3 surfaces
  • Poisson manifold
  • constrains
  • deformation quantization
  • singular symplectic reduction

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