On the integral cohomology of quotients of manifolds by cyclic groups

Abstract : We propose new tools based on basic lattice theory to calculate the integral cohomology of the quotient of a manifold by an automorphism group of prime order. As examples of applications, we provide the Beauville--Bogomolov forms of some irreducible symplectic orbifolds; we also show a new expression for a basis of the integral cohomology of a Hilbert scheme of two points on a surface.
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Submitted on : Monday, February 5, 2018 - 2:59:12 PM
Last modification on : Friday, April 12, 2019 - 4:46:04 PM

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Grégoire Menet. On the integral cohomology of quotients of manifolds by cyclic groups. Journal de Mathématiques Pures et Appliquées, Elsevier, 2018, 119, pp.280-325. ⟨10.1016/j.matpur.2017.11.008⟩. ⟨hal-01701004⟩

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