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Atrium > Mathematics, Physics & Philosophy: Example of (discrete) Chern-Simons theory on a point

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    • 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="http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.cmp/1104253714">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.

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