nLab Bjørn Ian Dundas

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Selected writings

Interpretation of algebraic K-theory of topological K-theory (iterated algebraic K-theory) as the K-theory of BDR 2-vector bundles:

• Nils Baas, Ian Dundas, John Rognes: Two-vector bundles and forms of elliptic cohomology, in: Topology, Geometry and Quantum Field Theory, London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press, Cambridge (2004) 18-45 [arXiv:math/0306027, pdf, doi:10.1017/CBO9780511526398]

• Nils Baas, Bjørn Ian Dundas, Birgit Richter, John Rognes, Stable bundles over rig categories, Journal of Topology, Volume 4, Issue 3, September 2011, Pages 623–640 (doi:10.1112/jtopol/jtr016)

Divisibility of a gerbe on the 3-sphere seen as a BDR 2-vector bundle is in

• Christian Ausoni, Bjørn Ian Dundas and John Rognes, Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere, Doc. Math. 13, 795-801 (2008). (pdf)

On algebraic K-theory:

• Bjørn Dundas, Thomas Goodwillie, Randy McCarthy, The local structure of algebraic K-theory, Springer (2013) [doi:10.1007/978-1-4471-4393-2]

On symmetry and introducing the language of homotopy type theory for univalent foundations of mathematics:

• Marc Bezem, Ulrik Buchholtz, Pierre Cagne, Bjørn Ian Dundas, Daniel R. Grayson: Symmetry (2021) [pdf]

Related entries

• BDR 2-vector bundle

• red-shift conjecture

category: people