{"id":23151957,"url":"https://github.com/o-morikawa/highercup","last_synced_at":"2026-01-19T02:31:55.040Z","repository":{"id":268414418,"uuid":"904274843","full_name":"o-morikawa/HigherCup","owner":"o-morikawa","description":"Symbolic manipulation of Steenrod higher cups","archived":false,"fork":false,"pushed_at":"2024-12-16T15:47:05.000Z","size":57,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-04-04T15:40:38.012Z","etag":null,"topics":["cup","cup-product","higher-category-theory","higher-cup","homotopy","homotopy-type-theory","steenrod","symbolic-mani"],"latest_commit_sha":null,"homepage":"https://sites.google.com/view/o-morikawa","language":"Mathematica","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/o-morikawa.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2024-12-16T15:19:56.000Z","updated_at":"2024-12-16T15:51:46.000Z","dependencies_parsed_at":"2024-12-16T16:45:19.028Z","dependency_job_id":null,"html_url":"https://github.com/o-morikawa/HigherCup","commit_stats":null,"previous_names":["o-morikawa/highercup"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/o-morikawa/HigherCup","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/o-morikawa%2FHigherCup","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/o-morikawa%2FHigherCup/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/o-morikawa%2FHigherCup/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/o-morikawa%2FHigherCup/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/o-morikawa","download_url":"https://codeload.github.com/o-morikawa/HigherCup/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/o-morikawa%2FHigherCup/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":28558229,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-01-19T00:46:33.223Z","status":"online","status_checked_at":"2026-01-19T02:00:08.049Z","response_time":67,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["cup","cup-product","higher-category-theory","higher-cup","homotopy","homotopy-type-theory","steenrod","symbolic-mani"],"created_at":"2024-12-17T19:12:37.095Z","updated_at":"2026-01-19T02:31:55.022Z","avatar_url":"https://github.com/o-morikawa.png","language":"Mathematica","funding_links":[],"categories":[],"sub_categories":[],"readme":"# HigherCup\n\nThis is a Mathematica code for computing higher cup products by Steenrod.\nOur notation is as follows.\n```mathematica\nA^{(p)} ⌣_i B^{(q)} ⌣_j C^{(r)}\n= Cup[A[p], B[q], C[r]][{i, j}]\n```\n(Error for wrong numbers of forms and cups.)\nAssociativity is supported in the appropriate way; an overall factor will be factorized.\nThe exterior derivative is implemented as $d=$```Del``` as the usual Mathematica code;\nhere $d$ can act on forms or ```Cup```, which mixes some other forms and higher cups appropriately;\nit is surely nilpotent and satisfies homomorphism.\nThe Leibniz rule holds.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fo-morikawa%2Fhighercup","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fo-morikawa%2Fhighercup","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fo-morikawa%2Fhighercup/lists"}