{"paper":{"title":"Cohomology of coinvariant differential forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Abdelhak Abouqateb, Mehdi Nabil, Mohamed Boucetta","submitted_at":"2018-04-30T16:10:41Z","abstract_excerpt":"Let $M$ be a smooth manifold and $\\Gamma$ a group acting on $M$ by diffeomorphisms; which means that there is a group morphism $\\rho:\\Gamma\\rightarrow \\mathrm{Diff}(M)$ from $\\Gamma$ to the group of diffeomorphisms of $M$. For any such action we associate a cohomology $\\mathrm{H}(\\Omega(M)_\\Gamma)$ which we call the cohomology of $\\Gamma$-coinvariant forms. This is the cohomology of the graded vector space generated by the differentiable forms $\\omega -\\rho(\\gamma)^*\\omega$ where $\\omega$ is a differential form with compact support and $\\gamma\\in \\Gamma$. The present paper is an introduction t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.11292","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}