Not signed in

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

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

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 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 nforum 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 sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 31st 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItextouched the first paragraph, making hyperlinked pointers to _[[compact Lie groups]]_, _[[positive energy representations]]_ and the _[[Verlinde ring]]_. Then I replaced "twisted euqivariant K-theoyry" with _[[twisted ad-equivariant K-theory]]_ and will give this its own entry now... <a href="https://ncatlab.org/nlab/revision/diff/Loop+Groups+and+Twisted+K-Theory/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/Loop+Groups+and+Twisted+K-Theory/11">v11</a>, <a href="https://ncatlab.org/nlab/show/Loop+Groups+and+Twisted+K-Theory">current</a>

   touched the first paragraph, making hyperlinked pointers to compact Lie groups, positive energy representations and the Verlinde ring.

   Then I replaced “twisted euqivariant K-theoyry” with twisted ad-equivariant K-theory and will give this its own entry now…

   diff, v11, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeOct 31st 2020
   • (edited Oct 31st 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded DOI-s for all three parts and remaining publication data for part III. Now it reads as follows: 1. _Loop groups and twisted K-theory I_, J. Topology, 4 (2011), 737-789 ([arXiv:0711.1906](http://arxiv.org/abs/0711.1906), [doi:10.1112/jtopol/jtr019](https://doi.org/10.1112/jtopol/jtr019)) 1. _Loop Groups and Twisted K-Theory II_, J. Amer. Math. Soc. 26 (2013), 595-644 ([arXiv:0511232](http://arxiv.org/abs/math/0511232), [doi:10.1090/S0894-0347-2013-00761-4](https://doi.org/10.1090/S0894-0347-2013-00761-4)) 1. _Loop Groups and Twisted K-Theory III_, Annals of Mathematics, Volume 174 (2011) pages 947-1007 ([arXiv:math/0312155](http://arxiv.org/abs/math/0312155), [doi:10.4007/annals.2011.174.2.5](http://dx.doi.org/10.4007/annals.2011.174.2.5)) <a href="https://ncatlab.org/nlab/revision/diff/Loop+Groups+and+Twisted+K-Theory/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/Loop+Groups+and+Twisted+K-Theory/11">v11</a>, <a href="https://ncatlab.org/nlab/show/Loop+Groups+and+Twisted+K-Theory">current</a>

   added DOI-s for all three parts and remaining publication data for part III. Now it reads as follows:

   1. Loop groups and twisted K-theory I,

      J. Topology, 4 (2011), 737-789

      (arXiv:0711.1906, doi:10.1112/jtopol/jtr019)

   2. Loop Groups and Twisted K-Theory II,

      J. Amer. Math. Soc. 26 (2013), 595-644

      (arXiv:0511232, doi:10.1090/S0894-0347-2013-00761-4)

   3. Loop Groups and Twisted K-Theory III,

      Annals of Mathematics, Volume 174 (2011) pages 947-1007

      (arXiv:math/0312155, doi:10.4007/annals.2011.174.2.5)

   diff, v11, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 31st 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data to * [[Daniel S. Freed]], [[Constantin Teleman]], _Dirac families for loop groups as matrix factorizations_, Comptes Rendus Mathematique, Volume 353, Issue 5, May 2015, Pages 415-419 ([arxiv/1409.6051](http://arxiv.org/abs/1409.6051), [doi:10.1016/j.crma.2015.02.011](https://doi.org/10.1016/j.crma.2015.02.011)) <a href="https://ncatlab.org/nlab/revision/diff/Loop+Groups+and+Twisted+K-Theory/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/Loop+Groups+and+Twisted+K-Theory/11">v11</a>, <a href="https://ncatlab.org/nlab/show/Loop+Groups+and+Twisted+K-Theory">current</a>

   added publication data to

   • Daniel S. Freed, Constantin Teleman,

     Dirac families for loop groups as matrix factorizations,

     Comptes Rendus Mathematique, Volume 353, Issue 5, May 2015, Pages 415-419

     (arxiv/1409.6051, doi:10.1016/j.crma.2015.02.011)

   diff, v11, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeOct 31st 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Daniel S. Freed]], _The Verlinde algebra is twisted equivariant K-theory_, Turk. J. Math 25 (2001) 159-167 ([arXiv:math/0101038](https://arxiv.org/abs/math/0101038)) <a href="https://ncatlab.org/nlab/revision/diff/Loop+Groups+and+Twisted+K-Theory/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/Loop+Groups+and+Twisted+K-Theory/12">v12</a>, <a href="https://ncatlab.org/nlab/show/Loop+Groups+and+Twisted+K-Theory">current</a>

   added pointer to:

   • Daniel S. Freed, The Verlinde algebra is twisted equivariant K-theory, Turk. J. Math 25 (2001) 159-167 (arXiv:math/0101038)

   diff, v12, current