Chen-Ruan cohomology of M_{1,n} and \bar{M}_{1,n}

Abstract

In this work we compute the Chen--Ruan cohomology and the stringy Chow ring of the moduli spaces of smooth and stable $n$-pointed curves of genus 1. We suggest a definition for an Orbifold Tautological Ring in genus 1, which is both a subring of the Chen--Ruan cohomology and of the stringy Chow ring.

37 pages, 2 figures. Final version

References in corpus (6)

• A New Cohomology Theory for Orbifold
• Gromov-Witten theory of Deligne-Mumford stacks
• The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points
• The orbifold cohomology of moduli of genus 3 curves
• Euler Characteristics of Moduli Spaces of Curves
• The orbifold cohomology of moduli of hyperelliptic curves

Cited by in corpus (3)

• The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points
• The orbifold cohomology of moduli of genus 3 curves
• Euler characteristics of universal cotangent line bundles on $\mbar_{1,n}$