Two-vector bundles and forms of elliptic cohomology

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dc.creatorBaas, Nils A.
dc.creatorDundas, Bjørn Ian
dc.creatorRognes, John
dc.date2003-06-02
dc.date.accessioned2026-07-07T04:58:28Z
dc.date.available2026-07-07T04:58:28Z
dc.descriptionIn this paper we define 2-vector bundles as suitable bundles of 2-vector spaces over a base space, and compare the resulting 2-K-theory with the algebraic K-theory spectrum K(V) of the 2-category of 2-vector spaces, as well as the algebraic K-theory spectrum K(ku) of the connective topological K-theory spectrum ku. We explain how K(ku) detects v_2-periodic phenomena in stable homotopy theory, and as such is a form of elliptic cohomology.
dc.description22 pages, AMS-TeX. Submitted to the Segal Proceedings
dc.identifierhttps://arxiv.org/abs/math/0306027
dc.identifierhttp://arxiv.org/abs/math/0306027
dc.identifierLondon Math. Soc. Lecture Note Ser., 308, Cambridge Univ. Press, Cambridge, 2004.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67652
dc.subjectAlgebraic Topology
dc.subjectMathematical Physics
dc.subjectK-Theory and Homology
dc.subject55R65 (Primary) 18D05, 19D99 (Secondary)
dc.titleTwo-vector bundles and forms of elliptic cohomology
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