Open \(r\)-spin theory. II: The analogue of Witten's conjecture for \(r\)-spin disks

DOI10.4310/JDG/1721075259zbMATH Open1547.14061MaRDI QIDQ6593660

A. Yu. Buryak, Ran J. Tessler, Emily Clader

Publication date: 27 August 2024

Published in: Journal of Differential Geometry (Search for Journal in Brave)

zbMATH Keywords

moduli spaceorientable orbifoldWitten bundler-spin theory

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80) Riemann surfaces (30F99)

Cites Work

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• The Witten equation, mirror symmetry, and quantum singularity theory
• The virtual class of the moduli stack of stable \(r\)-spin curves
• Intersection theory on the moduli space of curves and the matrix Airy function
• Open \(\mathbb{CP}^1\) descendent theory. I: The stationary sector
• Witten's top Chern class via cosection localization
• Matrix models and a proof of the open analog of Witten's conjecture
• Groupoids, branched manifolds and multisections
• Closed extended \(r\)-spin theory and the Gelfand-Dickey wave function
• Algebraic construction of Witten's top Chern class
• Open intersection numbers and the wave function of the KdV hierarchy
• Tautological relations and the $r$-spin Witten conjecture
• The Witten top Chern class via 𝐾-theory
• Developments in topological gravity
• Open 𝑟-Spin Theory I: Foundations
• On manifolds with corners
• Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures

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