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According to Gukov et al. in this 2017 paper Seiberg-Witten theory in 4d categorifies Seiberg-Witten theory in 3d. In what sense is this phrase mentioned? I know what the process of categorification is (e.g. how Khovanov homology categorifies Jones polynomial).

What is the exact relation between the 3d and 4d versions of Seiberg-Witten theory and in what sense is the latter the categorification of the former?

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    $\begingroup$ Minor comment to the post (v1): In the future please link to abstract pages rather than pdf files, e.g., arxiv.org/abs/1701.06567 $\endgroup$ – Qmechanic Mar 14 '17 at 17:27
  • $\begingroup$ Yeah, sorry. I will do in the future. $\endgroup$ – Gorbz Mar 14 '17 at 17:36

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