{ "id": "1201.6277", "version": "v1", "published": "2012-01-30T16:51:25.000Z", "updated": "2012-01-30T16:51:25.000Z", "title": "A comparison of norm maps", "authors": [ "Anna Marie Bohmann" ], "comment": "11 pages; with appendix by Anna Marie Bohmann and Emily Riehl", "categories": [ "math.AT" ], "abstract": "We present a spectrum-level version of the norm map in equivariant homotopy theory based on the algebraic construction in work of Greenleess-May. We show that this new norm map is same as the construction in work Hill-Hopkins-Ravenel on the Kervaire invariant problem. Our comparison of the two norm maps gives a conceptual understanding of the choices inherent in the definition of the multiplicative norm map.", "revisions": [ { "version": "v1", "updated": "2012-01-30T16:51:25.000Z" } ], "analyses": { "subjects": [ "55P91", "55P42" ], "keywords": [ "comparison", "kervaire invariant problem", "equivariant homotopy theory", "choices inherent", "spectrum-level version" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1201.6277B" } } }