On the integral cohomology of quotients of manifolds by cyclic groups

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 expressio...

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Bibliographic Details
Published in:arXiv.org 2019-09
Main Author: Menet, Grégoire
Format: Article
Language:English
Subjects:
Automorphisms
Homology
Integrals
Lattice theory
Manifolds
Quotients
Online Access:Get full text
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Summary: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.
ISSN:2331-8422