{ "id": "1801.00785", "version": "v1", "published": "2018-01-02T10:03:51.000Z", "updated": "2018-01-02T10:03:51.000Z", "title": "Geometric presentation for the cohomology ring of polygon spaces", "authors": [ "Ilia Nekrasov", "Gaiane Panina" ], "comment": "arXiv admin note: text overlap with arXiv:1707.04144", "categories": [ "math.GT" ], "abstract": "We describe the cohomology ring of the moduli space of a flexible polygon in geometrically meaningful terms. The proposed presentation is computation friendly: there are simple rules for cup product.", "revisions": [ { "version": "v1", "updated": "2018-01-02T10:03:51.000Z" } ], "analyses": { "keywords": [ "polygon spaces", "cohomology ring", "geometric presentation", "moduli space", "simple rules" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }