We study the inertia stack of [M 0,n/S n], the quotient stack of the moduli space of smooth genus 0 curves with n marked points via the action of the symmetric group S n. Then we see how-from this analysis-we can obtain a description of the inertia stack of Hg, the moduli stack of hyperelliptic curves of genus g. From this, we can compute additively the Chen-Ruan (or orbifold) cohomology of H g. © 2011 The Author(s).
Pagani, N. (2011). The Orbifold Cohomology of Moduli of Hyperelliptic Curves. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012(10), 2163-2178 [10.1093/imrn/rnr106].
The Orbifold Cohomology of Moduli of Hyperelliptic Curves
Pagani, N.
2011
Abstract
We study the inertia stack of [M 0,n/S n], the quotient stack of the moduli space of smooth genus 0 curves with n marked points via the action of the symmetric group S n. Then we see how-from this analysis-we can obtain a description of the inertia stack of Hg, the moduli stack of hyperelliptic curves of genus g. From this, we can compute additively the Chen-Ruan (or orbifold) cohomology of H g. © 2011 The Author(s).File in questo prodotto:
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