Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck 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 homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics 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 stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeDec 28th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Justin Roberts]], _Rozansky-Witten theory_ ([arXiv:math/0112209](https://arxiv.org/abs/math/0112209)) <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/4">v4</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

   added pointer to:

   • Justin Roberts, Rozansky-Witten theory (arXiv:math/0112209)

   diff, v4, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeDec 28th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded mentioning of RW-theory as [[topological twist|topologically twisted]] [[KK-compactification]] of the [[D=6 N=(2,0) SCFT]] on the [[M5-brane]]: * [[Sergei Gukov]], Pavel Putrov, [[Cumrun Vafa]], Sections 3.2 and 3.4 of:_Fivebranes and 3-manifold homology_, J. High Energ. Phys. (2017) 2017: 71 ([arXiv:1602.05302](https://arxiv.org/abs/1602.05302)) <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/4">v4</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

   added mentioning of RW-theory as topologically twisted KK-compactification of the D=6 N=(2,0) SCFT on the M5-brane:

   • Sergei Gukov, Pavel Putrov, Cumrun Vafa, Sections 3.2 and 3.4 of:Fivebranes and 3-manifold homology, J. High Energ. Phys. (2017) 2017: 71 (arXiv:1602.05302)

   diff, v4, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 28th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * Cyril Closset, Heeyeon Kim, Section 6.1 of: _Comments on twisted indices in 3d supersymmetric gauge theories_, JHEP 08 (2016) 059 ([arXiv:1605.06531](https://arxiv.org/abs/1605.06531)) <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

   added pointer to

   • Cyril Closset, Heeyeon Kim, Section 6.1 of: Comments on twisted indices in 3d supersymmetric gauge theories, JHEP 08 (2016) 059 (arXiv:1605.06531)

   diff, v5, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeDec 29th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded these references: * [[Justin Roberts]], [[Justin Sawon]], _Generalisations of Rozansky-Witten invariants_, Geom. Topol. Monogr. 4 (2002) 263-279 ([arXiv:math/0112210](https://arxiv.org/abs/math/0112210)) * [[Justin Sawon]], _Rozansky-Witten invariants of hyperkähler manifold_, Cambridge 2000 ([arXiv:math/0404360](https://arxiv.org/abs/math/0404360)) <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/6">v6</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

   added these references:

   • Justin Roberts, Justin Sawon, Generalisations of Rozansky-Witten invariants, Geom. Topol. Monogr. 4 (2002) 263-279 (arXiv:math/0112210)

   • Justin Sawon, Rozansky-Witten invariants of hyperkähler manifold, Cambridge 2000 (arXiv:math/0404360)

   diff, v6, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeDec 31st 2019
   • (edited Dec 31st 2019)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have now given the entry an actual Idea-section. <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/9">v9</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

   I have now given the entry an actual Idea-section.

   diff, v9, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeJan 1st 2020
   • (edited Jan 1st 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer on discussion of [[Rozansky-Witten theory]] as a [[boundary field theory]]: * [[Anton Kapustin]], [[Lev Rozansky]], [[Natalia Saulina]], _Three-dimensional topological field theory and symplectic algebraic geometry I_ ([arXiv:0810.5415](https://arxiv.org/abs/0810.5415)) <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/11">v11</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

   added pointer on discussion of Rozansky-Witten theory as a boundary field theory:

   • Anton Kapustin, Lev Rozansky, Natalia Saulina, Three-dimensional topological field theory and symplectic algebraic geometry I (arXiv:0810.5415)

   diff, v11, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeMay 13th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * [[Sergei Gukov]], Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei, Nikita Sopenko, _Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants_ ([arXiv:2005.05347](https://arxiv.org/abs/2005.05347)) <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/15">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/15">v15</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

   added pointer to today’s

   • Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei, Nikita Sopenko, Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants (arXiv:2005.05347)

   diff, v15, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeNov 12th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Jian Qiu, _Rozansky-Witten theory, Localised then Tilted_ ([arXiv:2011.05375](https://arxiv.org/abs/2011.05375)) <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/16">v16</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

   added pointer to today’s

   • Jian Qiu, Rozansky-Witten theory, Localised then Tilted (arXiv:2011.05375)

   diff, v16, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeMar 15th 2023
   • (edited Mar 15th 2023)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Ilka Brunner]], [[Nils Carqueville]], [[Daniel Roggenkamp]], *Truncated affine Rozansky--Witten models as extended TQFTs*, Commun. Math. Phys. (2023) &lbrack;[arXiv:2201.03284](https://arxiv.org/abs/2201.03284), [doi:10.1007/s00220-022-04614-4](https://doi.org/10.1007/s00220-022-04614-4)&rbrack; * [[Nils Carqueville]], *Extended defect TQFTs*, talk at *[QFT and Cobordism](https://nyuad.nyu.edu/en/events/2023/march/quantum-field-theories-and-cobordisms.html)*, [[CQTS]] (Mar 2023) &lbrack;[web](https://ncatlab.org/nlab/show/Center+for+Quantum+and+Topological+Systems#CarquevilleMar2023)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/17">v17</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

   added pointer to:

   • Ilka Brunner, Nils Carqueville, Daniel Roggenkamp, Truncated affine Rozansky–Witten models as extended TQFTs, Commun. Math. Phys. (2023) [arXiv:2201.03284, doi:10.1007/s00220-022-04614-4]

   • Nils Carqueville, Extended defect TQFTs, talk at QFT and Cobordism, CQTS (Mar 2023) [web]

   diff, v17, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJul 30th 2024
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's: * [[Sergei Gukov]], [[Babak Haghighat]], [[Nicolai Reshetikhin]]: *Foams and KZ-equations in Rozansky-Witten theories* &lbrack;[arXiv:2407.19757](https://arxiv.org/abs/2407.19757)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Rozansky-Witten+theory/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/Rozansky-Witten+theory/21">v21</a>, <a href="https://ncatlab.org/nlab/show/Rozansky-Witten+theory">current</a>

    added pointer to today’s:

    • Sergei Gukov, Babak Haghighat, Nicolai Reshetikhin: Foams and KZ-equations in Rozansky-Witten theories [arXiv:2407.19757]

    diff, v21, current