Two-vector bundles and forms of elliptic cohomology
Baas, Nils A. ; Dundas, Bjørn Ian ; Rognes, John
arXiv, 0306027 / Harvested from arXiv
Text on arXiv
In 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.
Publié le : 2003-06-02
Classification:  Mathematics - Algebraic Topology,  Mathematical Physics,  Mathematics - K-Theory and Homology,  55R65 (Primary) 18D05, 19D99 (Secondary) 
@article{0306027,
     author = {Baas, Nils A. and Dundas, Bj\o rn Ian and Rognes, John},
     title = {Two-vector bundles and forms of elliptic cohomology},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306027}
}

Baas, Nils A.; Dundas, Bjørn Ian; Rognes, John. Two-vector bundles and forms of elliptic cohomology. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306027/