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nLab > Latest Changes: moduli space of monopoles

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 14th 2019

    starting something, but nothing here yet. For the moment this is just a home for

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeOct 14th 2019

    added the statement of Theorem 2.10 in Atiyah-Segal, identifying the moduli space of kk monopoles with the space of pointed rational functions ℂP 1→ℂP 1\mathbb{C}P^1 \to \mathbb{C}P^1 of degree kk

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 19th 2019

    added an illustration (here) of “Atiyah-Hitchin charge quantization” in complex-rational Cohomotopy.

    diff, v5, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 3rd 2019

    added pointers on relation to braid groups:

    diff, v9, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 4th 2019
    • (edited Nov 4th 2019)

    expanded statement and list of references for identification of the moduli space of monopoles with Cohomotopy cocycle spaces

    added statement of stable weak homotopy equivalence with classifying space of braids

    diff, v10, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 4th 2019
    • (edited Nov 4th 2019)

    added pointer to

    diff, v10, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2019

    added section (here) on geometric engineering of Yang-Mills monopoles with Dpp-D(p+2)(p+2)-brane intersections

    (using the material that I already added also at D6-D8-brane intersection)

    diff, v13, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeDec 4th 2019
    • (edited Dec 4th 2019)

    added pointer to

    diff, v15, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeDec 30th 2019

    have added references on the identification of the Coulomb branch of D=3 N=4 super Yang-Mills theory with the moduli space of monopoles in Yang-Mills theory:

    diff, v19, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJul 19th 2021
    • (edited Jul 19th 2021)

    Where the result of Segal 1979 is mentioned in the entry, there is much more to be said; so I have added a pointer there to a new entry: homotopy of rational maps.

    diff, v22, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeAug 8th 2021
    • (edited Aug 8th 2021)

    am expanding (here) reference items and commentary regarding identification of YM-monopoles with “rational maps”

    (intermittently, from my phone, still on vacation…)

    diff, v29, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeAug 15th 2021

    added pointer to:

    diff, v34, current

1 to 12 of 12

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