Annals of Mathematics· 2013Q1
The Witten equation, mirror symmetry, and quantum singularity theory
- 312citations
- Q1SCImago
- 2013year
Short summary
A new theory links quasi-homogeneous hypersurface singularities to moduli spaces and cohomological field theories analogous to Gromov-Witten theory.
AI-generated from the title and abstract; the full text is not read.
Key points
- Describes moduli spaces, virtual cycles, and cohomological field theories for quasi-homogeneous hypersurface singularities.
- The theory generalizes r-spin curve theory, which corresponds to simple singularities (Ar-1).
- Establishes an analogy with Gromov-Witten theory for these singularities.
AI-generated from the title and abstract; the full text is not read.
Abstract
For any nondegenerate, quasi-homogeneous hypersurface singularity, we describe a family of moduli spaces, a virtual cycle, and a corresponding cohomological field theory associated to the singularity. This theory is analogous to Gromov-Witten theory and generalizes the theory of r-spin curves, which corresponds to the simple singularity Ar-1.
The authors' abstract, as published at the source. Annals of Mathematics, 2013 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics