Fourier duality of quantum curves

Martin T. Luu, Albert Schwarz

Research output: Contribution to journalArticlepeer-review


There are two different ways to deform a quantum curve along the flows of the KP hierarchy. We clarify the relation between the two KP orbits: In the framework of suitable connections attached to the quantum curve they are related by a local Fourier duality. As an application we give a conceptual proof of duality results in 2D quantum gravity.

Original languageEnglish (US)
Pages (from-to)1111-1137
Number of pages27
JournalMathematical Research Letters
Issue number4
StatePublished - 2016

ASJC Scopus subject areas

  • General Mathematics


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