Cohomologie de Chen-Ruan de \(\mathcal{M}_{1, n}\) et \(\overline{\mathcal{M}}_{1, n}\)

DOI10.5802/aif.2808zbMath1311.14029arXiv0810.2744OpenAlexW1615003601MaRDI QIDQ462802

Nicola Pagani

Publication date: 21 October 2014

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2744

zbMATH Keywords

cohomologyorbifoldmoduli spacesGromov-Wittentautological ring

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Automorphisms of curves (14H37) Orbifold cohomology (55N32) Stacks and moduli problems (14D23) String topology (55P50)

Related Items

The orbifold cohomology of moduli of genus 3 curves ⋮ Intersections of loci of admissible covers with tautological classes ⋮ The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points ⋮ Euler characteristics of universal cotangent line bundles on $\overline {\mathcal {M}}_{1,n}$ ⋮ Extremal effective divisors on \(\overline{\mathcal M}_{1,n}\)

Cites Work

• The orbifold cohomology of moduli of genus 3 curves
• The spinning particle with curved target
• The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points
• Relative virtual localization and vanishing of tautological classes of moduli spaces of curves
• Intersection theory on algebraic stacks and on their moduli spaces
• The semi-classical approximation for modular operads
• Orbifold cohomology for global quotients
• Constructions of nontautological classes on moduli spaces of curves.
• Relative maps and tautological classes
• A new cohomology theory of orbifold
• The structure of the tautological ring in genus one
• The Orbifold Cohomology of Moduli of Hyperelliptic Curves
• Gromov-Witten theory of Deligne-Mumford stacks
• Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero
• Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants
• Orbifold quantum cohomology of weighted projective spaces
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