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 definitions 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 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
   • CommentTimeJun 14th 2011
   • (edited Jun 14th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarted a Reference entry [[FHT theorem]] with a brief rough statement of what the theorem says. For the moment mainly in order to include pointers to where in the three articles the theorem is actually hidden (I think it is hidden quite well... ;-)

   started a Reference entry FHT theorem with a brief rough statement of what the theorem says. For the moment mainly in order to include pointers to where in the three articles the theorem is actually hidden (I think it is hidden quite well… ;-)

2. • CommentRowNumber2.
   • CommentAuthorAndrew Stacey
   • CommentTimeJun 14th 2011
   • PermaLink
   Author: Andrew Stacey
   Format: MarkdownItexCompletely agree with the remark! I went through this a couple of years ago with a student and at that time felt that I understood it (I still recall the "a-ha" moment) but sadly it seems to have slipped from my mind. I'll see if I can dig out our notes.

   Completely agree with the remark! I went through this a couple of years ago with a student and at that time felt that I understood it (I still recall the “a-ha” moment) but sadly it seems to have slipped from my mind. I’ll see if I can dig out our notes.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 14th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexI should maybe add: the equivalence itself between loop group representations and twisted equivariant K-theory is of course stated right at the beginning (at least of what is now called part I, which is of course the third article to appear!), but important it also _how_ the equivalence is implemented, namely by forming families of Dirac operators on the circle in a way that has been studied long ago by Mickelsson and others. And I was a bit surprised about how long it took me to locate that statement in the article, even already knowing that it exists.

   I should maybe add: the equivalence itself between loop group representations and twisted equivariant K-theory is of course stated right at the beginning (at least of what is now called part I, which is of course the third article to appear!), but important it also how the equivalence is implemented, namely by forming families of Dirac operators on the circle in a way that has been studied long ago by Mickelsson and others. And I was a bit surprised about how long it took me to locate that statement in the article, even already knowing that it exists.