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 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

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.
    • CommentAuthorrdkw10
    • CommentTimeMar 9th 2010
    Hello everyone,

    Recently, I have been working my way through a paper by Freed "Higher Algebraic Structures and Quantization". I this paper, Freed gives a general definition of an extended TQFT (via integration theory). I am trying to work out the details for a simple case of $G=\mathbb{Z}_2$. In particular, I would like to see how this (discrete) 3-d Chern-Simons acts on a point and circle. Does anyone know of any hints/references where this has been studied (for any discrete group really). I know of the paper by Freed, Hopkins, Lurie and Teleman "TQFTs from Compact Lie groups", but this is difficult (at best) for myself to follow. Any help will be appreciated. Thanks again for all the help and support in the past.
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 9th 2010
    This comment is invalid XML; displaying source. <p>if you haven't looked at it yet, try</p> <ul> <li>Freed, Quinn, <em>Chern-Simons theory with finite gauge group</em> (<a href="">here</a>)</li> </ul>
    • CommentRowNumber3.
    • CommentAuthorrdkw10
    • CommentTimeMar 9th 2010
    Dear Urs,

    Thanks, but yes I have already taken a look at this paper - it is what got me started with extended TQFTs. Although I feel much better reading through this one, there are still some questions that I have. Which is why I would like to see the explicit calculations (if any exist), perhaps helping to clear things up a bit. Thanks again though.