In this work we compute the Chen-Ruan cohomology of the moduli spaces of smooth and stable n-pointed curves of genus 1. In the first part of the paper we study and describe stack theoretically the twisted sectors of M1,n and M1,n. In the second part, we study the orbifold intersection theory of M1,n. We suggest a definition for an orbifold tautological ring in genus 1, which is a subring of both the Chen-Ruan cohomology and of the stringy Chow ring. © Association des Annales de l'institut Fourier, 2013.
Pagani, N. (2013). Chen-Ruan Cohomology of \mathcal{M}_{1,n} and \overline{\mathcal{M}}_{1,n}. ANNALES DE L'INSTITUT FOURIER, 63(4), 1469-1509 [10.5802/aif.2808].
Chen-Ruan Cohomology of \mathcal{M}_{1,n} and \overline{\mathcal{M}}_{1,n}
Nicola Pagani
2013
Abstract
In this work we compute the Chen-Ruan cohomology of the moduli spaces of smooth and stable n-pointed curves of genus 1. In the first part of the paper we study and describe stack theoretically the twisted sectors of M1,n and M1,n. In the second part, we study the orbifold intersection theory of M1,n. We suggest a definition for an orbifold tautological ring in genus 1, which is a subring of both the Chen-Ruan cohomology and of the stringy Chow ring. © Association des Annales de l'institut Fourier, 2013.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
