Not signed in (Sign In)

Start a new discussion

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 bundle bundles calculus 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 finite foundations functional-analysis functor galois-theory gauge-theory gebra geometric-quantization geometry graph graphs gravity 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 homology homotopy homotopy-theory homotopy-type-theory index-theory infinity integration integration-theory itex k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics planar 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 simplicial space spin-geometry stable-homotopy-theory 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).

nLab > Latest Changes: moduli space of monopoles

Bottom of Page

1 to 9 of 9

  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

1 to 9 of 9

  1.  
Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.

    • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)
 
Back to Discussions Top of Page