Differential characters and the Steenrod squares

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dc.creatorGomi, Kiyonori
dc.date2004-11-02
dc.date2006-10-16
dc.date.accessioned2026-07-07T06:38:58Z
dc.date.available2026-07-07T06:38:58Z
dc.descriptionThe groups of differential characters of Cheeger and Simons admit a natural multiplicative structure. The map given by the squares of degree 2k differential characters reduces to a homomorphism of ordinary cohomology groups. We prove that the homomorphism factors through the Steenrod squaring operation of degree 2k. A simple application shows that five-dimensional Chern-Simons theory for pairs of B-fields is SL(2, Z)-invariant on spin manifolds.
dc.description10 pages, LaTeX 2e, Introduction revised
dc.identifierhttps://arxiv.org/abs/math/0411043
dc.identifierhttp://arxiv.org/abs/math/0411043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100925
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.titleDifferential characters and the Steenrod squares
dc.typetext

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