{"paper":{"title":"Self-intersections of Immersions and Steenrod Operations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AT","authors_text":"Mark Grant, Peter J. Eccles","submitted_at":"2005-09-09T15:36:27Z","abstract_excerpt":"We present a formula describing the action of a generalised Steenrod operation of $\\Z_2$-type on the cohomology class represented by a proper self-transverse immersion $f\\co M\\imm X$, in terms of the equivariant double points of $f$ and the characteristic classes of its normal bundle. This generalises a classical result of R.\\ Thom: If $\\alpha\\in H^k(X;\\Z_2)$ is the ordinary cohomology class represented by $f\\co M\\imm X$, then $\\mathrm{Sq}^i(\\alpha)=f_* w_i(\\nu_f)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0509213","kind":"arxiv","version":3},"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"}