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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 14th 2011

    stub for Kapustin-Witten TQFT in order to supply some links for this TP.SE question

    • CommentRowNumber2.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Added the form of the 4-dimensional spacetime on which the Kapustin-Witten TQFT is defined. Added that the Kaluza-Klein compactification is on C, and that the resulting effective field theory on Σ can be given by the sigma model whose target is the Hitchin moduli space.

    diff, v5, current

    • CommentRowNumber3.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Added a symbol for the Hitchin moduli space and made note of the gauge group G. Made mention of S-duality manifesting as mirror symmetry between the Hitchin moduli spaces for G and its Langlands dual. Added link to Frenkel survey.

    diff, v5, current

    • CommentRowNumber4.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Corrected link to Frenkel survey.

    diff, v5, current

    • CommentRowNumber5.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Added connection to geometric Langlands and how to associate a Hecke eigensheaf to a local system.

    diff, v6, current

    • CommentRowNumber6.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Adding links to Wilson loops and ’t Hooft operators.

    diff, v6, current

    • CommentRowNumber7.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Trying to correct the link to hyperkahler manifold.

    diff, v6, current

    • CommentRowNumber8.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Added links to Hecke operators and quantization via the A-model.

    diff, v6, current

    • CommentRowNumber9.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Changed Hecke operators to Hecke correspondences as a page for the former does not exist.

    diff, v6, current

    • CommentRowNumber10.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Added links to D-module and Hecke eigensheaf. Added the Hausel-Thaddeus paper and the Witten survey as references.

    diff, v6, current

    • CommentRowNumber11.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Added link to nonabelian Hodge theory.

    diff, v6, current

    • CommentRowNumber12.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 1st 2022

    Typo regarding complex structures.

    diff, v8, current