nLab John Rognes

• webpage

Selected writings

On iterated algebraic K-theory and the red-shift conjecture:

• John Rognes, Algebraic K-theory of finitely presented ring spectra, lecture at Schloss Ringberg, Germany, January 1999 (pdf, pdf)

• John Rognes, Algebraic K-theory of finitely presented ring spectra, Oberwolfach talk September 2000 (OWF abstract pdf scan)

• Christian Ausoni, John Rognes, The chromatic red-shift in algebraic K-theory, Enseign. Math. (2) 54 (2008), 9-11. (pdf, pdf, doi:10.5169/seals-109873)

On the topological Hochschild homology of topological modular forms:

• Robert Bruner, John Rognes, Topological Hochschild homology of topological modular forms, talk at Nordic Topology Meeting NTNU (2008) [pdf]

On the first algebraic K-theory $K(ku)$ of topological K-theory (iterated algebraic K-theory):

• Christian Ausoni, John Rognes, Algebraic K-theory of topological K-theory, Acta Math. Volume 188, Number 1 (2002), 1-39 (euclid:acta/1485891473)

• Christian Ausoni, John Rognes, Rational algebraic K-theory of topological K-theory, Geom. Topol. 16 (2012) 2037-2065 (arXiv:0708.2160, doi:10.2140/gt.2012.16.2037)

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

• Nils Baas, Bjørn Ian Dundas, John Rognes, Two-vector bundles and forms of elliptic cohomology, London Math. Soc. Lecture Note Ser., 308, Cambridge Univ. Press, Cambridge, 2004 (arXiv:0909.1742, doi:10.1017/CBO9780511526398.005)

• 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)

Related entries

• red-shift conjecture

• iterated algebraic K-theory

category: people