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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 30th 2013
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarted _[[topologically twisted D=4 super Yang-Mills theory]]_, in order to finally write a reply to that MO question we were talking about. But am being interrupted now...

   started topologically twisted D=4 super Yang-Mills theory, in order to finally write a reply to that MO question we were talking about. But am being interrupted now…

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 30th 2013
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded a bunch more commented references to _[[topologically twisted D=4 super Yang-Mills theory]]_

   added a bunch more commented references to topologically twisted D=4 super Yang-Mills theory

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJul 1st 2013
   • (edited Jul 1st 2013)
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarted now a section * _[Formalization](http://ncatlab.org/nlab/show/topologically+twisted+D%3D4+super+Yang-Mills+theory#Formalization)_ at _[[topologically twisted super Yang-Mills theory]]_. So far this contains just a brief paragraph with the central observation of Kevin Costello that the topological twisting corresponds to a choice of $\mathbf{Aut}(\mathbb{R}^{0|1})$ action on the local observavbles via the super-Poincaré lie algebra, and that the topologically twisted theory is given by the resulting factorization algebra of homotopy fixed points of this action... ...or rather, Kevin Costello seems to speak explicitly only of the $\mathbb{G}_m \ltimes \Pi\mathbb{G}_{ad}$ action and repeats some of the analysis that other people made before when studying actions of the equivalent [automorphism super-group of the odd line](http://ncatlab.org/nlab/show/odd%20line#TheAutomorphismSuperGroup). (?)

   started now a section

   • Formalization

   at topologically twisted super Yang-Mills theory.

   So far this contains just a brief paragraph with the central observation of Kevin Costello that the topological twisting corresponds to a choice of $\mathbf{Aut}(\mathbb{R}^{0|1})$ action on the local observavbles via the super-Poincaré lie algebra, and that the topologically twisted theory is given by the resulting factorization algebra of homotopy fixed points of this action…

   …or rather, Kevin Costello seems to speak explicitly only of the $\mathbb{G}_m \ltimes \Pi\mathbb{G}_{ad}$ action and repeats some of the analysis that other people made before when studying actions of the equivalent automorphism super-group of the odd line.

   (?)

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMay 29th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to [Elliott-Safronov 18](https://ncatlab.org/nlab/show/topologically+twisted+D%3D4+super+Yang-Mills+theory#ElliottSafronov18) <a href="https://ncatlab.org/nlab/revision/diff/topologically+twisted+D%3D4+super+Yang-Mills+theory/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/topologically+twisted+D%3D4+super+Yang-Mills+theory/12">v12</a>, <a href="https://ncatlab.org/nlab/show/topologically+twisted+D%3D4+super+Yang-Mills+theory">current</a>

   added pointer to Elliott-Safronov 18

   diff, v12, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeSep 16th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Zhi-Cong Ong, [[Meng-Chwan Tan]], *Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification* &lbrack;[arXiv:2203.17115](https://arxiv.org/abs/2203.17115)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/topologically+twisted+D%3D4+super+Yang-Mills+theory/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/topologically+twisted+D%3D4+super+Yang-Mills+theory/17">v17</a>, <a href="https://ncatlab.org/nlab/show/topologically+twisted+D%3D4+super+Yang-Mills+theory">current</a>

   added pointer to today’s

   • Zhi-Cong Ong, Meng-Chwan Tan, Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [arXiv:2203.17115]

   diff, v17, current

6. • CommentRowNumber6.
   • CommentAuthorperezl.alonso
   • CommentTimeFeb 7th 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexpointer to * James Horne. *Superspace versions of topological theories.* Nuclear Physics B 318, no. 1 (1989): 22-52. ([doi](https://doi.org/10.1016/0550-3213(89)90046-1)) <a href="https://ncatlab.org/nlab/revision/diff/topologically+twisted+D%3D4+super+Yang-Mills+theory/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/topologically+twisted+D%3D4+super+Yang-Mills+theory/19">v19</a>, <a href="https://ncatlab.org/nlab/show/topologically+twisted+D%3D4+super+Yang-Mills+theory">current</a>

   pointer to

   • James Horne. Superspace versions of topological theories. Nuclear Physics B 318, no. 1 (1989): 22-52. (doi)

   diff, v19, current

7. • CommentRowNumber7.
   • CommentAuthorperezl.alonso
   • CommentTimeMar 18th 2024
   • (edited Mar 18th 2024)
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexpointers: * [[Michael Atiyah]], [[Lisa Jeffrey]]. *Topological Lagrangians and cohomology.* Journal of Geometry and Physics 7, no. 1 (1990): 119-136. ([doi](https://doi.org/10.1016/0393-0440(90)90023-V)) * [[Varghese Mathai]], [[Daniel Quillen]]. *Superconnections, Thom classes and equivariant differential forms*. Topology 25, 85 (1986) (<a href="https://doi.org/10.1016/0040-9383(86)90007-8">doi:10.1016/0040-9383(86)90007-8</a>) <a href="https://ncatlab.org/nlab/revision/diff/topologically+twisted+D%3D4+super+Yang-Mills+theory/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/topologically+twisted+D%3D4+super+Yang-Mills+theory/20">v20</a>, <a href="https://ncatlab.org/nlab/show/topologically+twisted+D%3D4+super+Yang-Mills+theory">current</a>

   pointers:

   • Michael Atiyah, Lisa Jeffrey. Topological Lagrangians and cohomology. Journal of Geometry and Physics 7, no. 1 (1990): 119-136. (doi)

   • Varghese Mathai, Daniel Quillen. Superconnections, Thom classes and equivariant differential forms. Topology 25, 85 (1986) (doi:10.1016/0040-9383(86)90007-8)

   diff, v20, current