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- W4385372488 abstract "We consider the moduli space Mg,n of Riemann surfaces of genus g≥0 with n≥1 ordered and directed marked points. For d≥2g+n−1 we show that Mg,n is homotopy equivalent to a component of the simplicial Hurwitz space HurΔ(Sdgeo) associated with the partially multiplicative quandle Sdgeo. As an application, we give a new proof of the Mumford conjecture on the stable rational cohomology of moduli spaces of Riemann surfaces. We also provide a combinatorial model for the infinite loop space Ω∞−2MTSO(2) of Hurwitz flavour." @default.
- W4385372488 created "2023-07-29" @default.
- W4385372488 creator A5002341558 @default.
- W4385372488 date "2023-10-01" @default.
- W4385372488 modified "2023-10-12" @default.
- W4385372488 title "Moduli spaces of Riemann surfaces as Hurwitz spaces" @default.
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- W4385372488 doi "https://doi.org/10.1016/j.aim.2023.109217" @default.
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