On the rational cohomology of moduli spaces of curves with level structures |
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| Authors: | Gilberto Bini Claudio Fontanari |
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| Affiliation: | 1.Dipartimento di Matematica,Università degli Studi di Milano,Milan,Italy;2.Dipartimento di Matematica,Università degli Studi di Trento,Trento,Italy |
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| Abstract: | We investigate low degree rational cohomology groups of smooth compactifications of moduli spaces of curves with level structures. In particular, we determine Hk([`(S)]g, mathbb Q){H^kleft({bar S}_{g}, {mathbb Q}right)} for g ≥ 2 and k ≤ 3, where [`(S)]g{{bar S}_{g}} denotes the moduli space of spin curves of genus g. |
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