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Baas–Dundas–Rognes conjecture on the representing spectrum of 2K-theory
The $2$ -vector bundles described above define a kind of second-order $K$ -theory, called $2K$ -theory, represented by a spectrum. Baas–Dundas–Rognes conjecture. They conjectured that…
Conjecturesolved2-vector-bundles algebraic-k-theory elliptic-cohomologyarXiv posted 2 days ago
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The BDR conjecture on virtual 2-vector bundles and elliptic cohomology
A virtual $2$ -vector bundle is a geometric object representing a stable, or virtual, $2$ -vector bundle. A cohomology theory has telescopic complexity $2$ when it lies at chromatic…
Conjectureopen2-vector-bundles algebraic-k-theory elliptic-cohomologyarXiv posted 2 days ago
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The 2-vector bundle conjecture for algebraic K-theory of connective topological K-theory
2-vector bundle conjecture. $2$ -vector bundles give rise to a geometric cohomology theory of the same sort as elliptic cohomology, or, more precisely, to the algebraic $K$ -theory o…
Conjecturesolved2-vector-bundles algebraic-k-theory cohomology-theoryarXiv posted 2 days ago

Baas–Dundas–Rognes conjecture on the representing spectrum of 2K-theory