Super J -holomorphic curves: construction of the moduli space

Enno Keßler, Artan Sheshmani, Shing Tung Yau

Research output: Contribution to journalArticlepeer-review

Abstract

Let M be a super Riemann surface with holomorphic distribution D and N a symplectic manifold with compatible almost complex structure J. We call a map Φ : M→ N a super J-holomorphic curve if its differential maps the almost complex structure on D to J. Such a super J-holomorphic curve is a critical point for the superconformal action and satisfies a super differential equation of first order. Using component fields of this super differential equation and a transversality argument we construct the moduli space of super J-holomorphic curves as a smooth subsupermanifold of the space of maps M→ N.

Original languageEnglish (US)
JournalMathematische Annalen
DOIs
StateAccepted/In press - 2021
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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