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arxiv: 0810.2744 · v3 · pith:THGAHR62new · submitted 2008-10-15 · 🧮 math.AG · math.AT

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

classification 🧮 math.AG math.AT
keywords cohomologyringchen--ruanchowgenusstringychen-ruancompute
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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.

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