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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 18th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexam slowly starting to add some genuine content to [[twisted K-theory]]

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

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeApr 18th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded 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]].

   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.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMay 29th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave added to _[[twisted K-theory]]_ some of the classical references that were missing there

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

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeNov 24th 2014
   • PermaLink
   Author: Urs
   Format: MarkdownItexof all definitions, the one by Fredholm bundles had been missing in the entry _[[twisted K-theory]]_. Have added something now [here](http://ncatlab.org/nlab/show/twisted+K-theory#ByBundlesOfFredholmOperators).

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

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeSep 2nd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this pointer: The general definition of twisted K-theory in terms of sections is fully explicit in: * [[Daniel Freed]], [[Michael Hopkins]], [[Constantin Teleman]], Diagram (2.6) in: _Twisted equivariant K-theory with complex coefficients_, Journal of Topology, Volume 1, Issue 1, 2007 ([arXiv:math/0206257](https://arxiv.org/abs/math/0206257), [doi:10.1112/jtopol/jtm001](https://doi.org/10.1112/jtopol/jtm001)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+K-theory/45">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+K-theory/45">v45</a>, <a href="https://ncatlab.org/nlab/show/twisted+K-theory">current</a>

   added this pointer:

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

   • Daniel Freed, Michael Hopkins, Constantin Teleman, Diagram (2.6) in: Twisted equivariant K-theory with complex coefficients, Journal of Topology, Volume 1, Issue 1, 2007 (arXiv:math/0206257, doi:10.1112/jtopol/jtm001)

   diff, v45, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeMar 15th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Dale Husemöller]], [[Michael Joachim]], [[Branislav Jurčo]], [[Martin Schottenloher]], Part IV of: _[[Basic Bundle Theory and K-Cohomology Invariants]]_, Springer Lecture Notes in Physics __726__, 2008, ([pdf](http://www.mathematik.uni-muenchen.de/~schotten/Texte/978-3-540-74955-4_Book_LNP726.pdf), [doi:10.1007/978-3-540-74956-1](https://link.springer.com/book/10.1007/978-3-540-74956-1)) <a href="https://ncatlab.org/nlab/revision/diff/twisted+K-theory/56">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+K-theory/56">v56</a>, <a href="https://ncatlab.org/nlab/show/twisted+K-theory">current</a>

   added pointer to:

   • Dale Husemöller, Michael Joachim, Branislav Jurčo, Martin Schottenloher, Part IV of: Basic Bundle Theory and K-Cohomology Invariants, Springer Lecture Notes in Physics 726, 2008, (pdf, doi:10.1007/978-3-540-74956-1)

   diff, v56, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeJul 31st 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded ([here](https://ncatlab.org/nlab/show/twisted+K-theory#ReferencesHigherTwists)) some references on higher twists <a href="https://ncatlab.org/nlab/revision/diff/twisted+K-theory/60">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+K-theory/60">v60</a>, <a href="https://ncatlab.org/nlab/show/twisted+K-theory">current</a>

   added (here) some references on higher twists

   diff, v60, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeSep 15th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded 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 $C^\ast$-Algebras*, Transactions of the American Mathematical Society **308** 1 (1988) &lbrack;[jstor:2000953](https://www.jstor.org/stable/2000953)&rbrack; (this has been references at *[[PU(ℋ)]]* all along, but should also be cited here) <a href="https://ncatlab.org/nlab/revision/diff/twisted+K-theory/67">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+K-theory/67">v67</a>, <a href="https://ncatlab.org/nlab/show/twisted+K-theory">current</a>

   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 $C^\ast$-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

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeSep 18th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[David E. Evans]], [[Ulrich Pennig]], *Spectral Sequence Computation of Higher Twisted K-Groups of $SU(n)$* &lbrack;[arXiv:2307.00423](https://arxiv.org/abs/2307.00423)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/twisted+K-theory/71">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+K-theory/71">v71</a>, <a href="https://ncatlab.org/nlab/show/twisted+K-theory">current</a>

   added pointer to:

   • David E. Evans, Ulrich Pennig, Spectral Sequence Computation of Higher Twisted K-Groups of $SU(n)$ [arXiv:2307.00423]

   diff, v71, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeNov 18th 2023
    • (edited Nov 18th 2023)
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded this pointer: * [[Ulrich Pennig]], *Equivariant Higher Twisted K-Theory of $SU(n)$ via Exponential Functors*, [talk at](CQTS#PennigSep2023) [[CQTS]] (20 Sep 2023) &lbrack;video:[YT](https://youtu.be/JXO-owcJgTE)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/twisted+K-theory/72">diff</a>, <a href="https://ncatlab.org/nlab/revision/twisted+K-theory/72">v72</a>, <a href="https://ncatlab.org/nlab/show/twisted+K-theory">current</a>

    added this pointer:

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

    diff, v72, current