Oscillatory modules

Boris Tsygan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Developing the ideas of Bressler and Soibelman and of Karabegov, we introduce a notion of an oscillatory module on a symplectic manifold which is a sheaf of modules over the sheaf of deformation quantization algebras with an additional structure. We compare the category of oscillatory modules on a torus to the Fukaya category as computed by Polishchuk and Zaslow.

Original languageEnglish (US)
Pages (from-to)343-369
Number of pages27
JournalLetters in Mathematical Physics
Issue number1-3
StatePublished - Jun 2009


  • Deformation quantization
  • Lagrangian submanifold
  • Symplectic manifold

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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