MODULI SPACES OF CURVES WITH EFFECTIVE r-SPIN STRUCTURES
نویسنده
چکیده
We introduce the moduli stack of pointed curves equipped with effective r-spin structures: these are effective divisors D such that rD is a canonical divisor modified at marked points. We prove that this moduli space is smooth and describe its connected components. We also prove that it always contains a component that projects birationally to the locus S in the moduli space of r-spin curves consisting of r-spin structures L such that h(L) 6= 0. Finally, we study the relation between the locus S and Witten’s virtual top Chern class.
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تاریخ انتشار 2006