On the integral cohomology of quotients of manifolds by cyclic groups
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | On the integral cohomology of quotients of manifolds by cyclic groups |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | Menet G |
| Journal | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES |
| Volume | 119 |
| Pagination | 280-325 |
| Date Published | NOV |
| Type of Article | Article |
| ISSN | 0021-7824 |
| Mots-clés | Beauville-Bogomolov forms, Compact orientable manifolds, Group actions on lattices, integral cohomology |
| Résumé | 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. (C) 2017 Elsevier Masson SAS. All rights reserved. |
| DOI | 10.1016/j.matpur.2017.11.008 |