Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limit limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory subobject superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 18th 2011

    am slowly starting to add some genuine content to twisted K-theory

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 18th 2011

    added the statement (just the statement) of the CBMMS-theorem on how twisted K-theory is K-theory of twisted bundles.

    Touched lifting gerbe and gerbe module.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 29th 2012

    have added to twisted K-theory some of the classical references that were missing there

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 24th 2014

    of all definitions, the one by Fredholm bundles had been missing in the entry twisted K-theory. Have added something now here.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 2nd 2020

    added this pointer:

    The general definition of twisted K-theory in terms of sections is fully explicit in:

    diff, v45, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMar 15th 2021
    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 31st 2021

    added (here) some references on higher twists

    diff, v60, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeSep 15th 2022

    added pointer to the original reference (I think) on the twist of KU in degree 1:

    • Ellen Maycock Parker, The Brauer Group of Graded Continuous Trace C *C^\ast-Algebras, Transactions of the American Mathematical Society 308 1 (1988) [jstor:2000953]

    (this has been references at PU(ℋ) all along, but should also be cited here)

    diff, v67, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeSep 18th 2023

    added pointer to:

    diff, v71, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeNov 18th 2023
    • (edited Nov 18th 2023)

    added this pointer:

    • Ulrich Pennig, Equivariant Higher Twisted K-Theory of SU(n)SU(n) via Exponential Functors, talk at CQTS (20 Sep 2023) [video:YT]

    diff, v72, current