Tautological relations via 𝑟-spin structures

DOI10.1090/jag/736zbMath1433.14022arXiv1607.00978OpenAlexW2963334984MaRDI QIDQ5378489

Aaron Pixton, Dimitri Zvonkine, Rahul Pandharipande

Publication date: 29 May 2019

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

Full work available at URL: https://arxiv.org/abs/1607.00978

zbMATH Keywords

cohomological field theoriesmoduli of curvestautological ringtautological relations

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Families, moduli of curves (algebraic) (14H10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (13)

Polynomiality of the equivariant Gromov-Witten theory of $mathbb P^{r-1}$ ⋮ A curious identity that implies Faber's conjecture ⋮ Geometry and arithmetic of integrable hierarchies of KdV type. I: Integrality ⋮ Towards logarithmic GLSM: the \(r\)-spin case ⋮ The double ramification cycle formula ⋮ Shifted Witten classes and topological recursion ⋮ A brief survey of FJRW theory ⋮ Punctures and \(p\)-spin curves from matrix models. II ⋮ The logarithmic gauged linear sigma model ⋮ Open WDVV equations and Virasoro constraints ⋮ Pullbacks of 𝜅 classes on \overline{ℳ}_{0,𝓃} ⋮ Half-spin tautological relations and Faber's proportionalities of kappa classes ⋮ Infinitesimal structure of the pluricanonical double ramification locus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Witten equation, mirror symmetry, and quantum singularity theory
• The structure of 2D semi-simple field theories
• The \(\varkappa \) ring of the moduli of curves of compact type
• Fusion rules and modular transformations in 2D conformal field theory
• The virtual class of the moduli stack of stable \(r\)-spin curves
• Constructions of nontautological classes on moduli spaces of curves.
• Frobenius manifolds near the discriminant and relations in the tautological ring
• On the tautological ring of \(\mathcal{M}_ g\)
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Strata of abelian differentials and the Teichmüller dynamics
• Compactification of strata of abelian differentials
• Double ramification cycles on the moduli spaces of curves
• Tautological and non-tautological cohomology of the moduli space of curves
• Alternators in the Cayley-Dickson algebras
• The Witten top Chern class via 𝐾-theory
• THE MODULI SPACE OF TWISTED CANONICAL DIVISORS
• COHOMOLOGICAL FIELD THEORY CALCULATIONS
• A calculus for the moduli space of curves
• Relations on Mgn via equivariant Gromov-Witten theory of P1
• Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures
• Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.

This page was built for publication: Tautological relations via 𝑟-spin structures