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 nlab noncommutative noncommutative-geometry number-theory object 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
   • CommentTimeSep 7th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Domenico Fiorenza]], [[Hisham Sati]], [[Urs Schreiber]], _[[schreiber:T-duality in rational homotopy theory via strong homomotopy Lie algebras]]_, [Geometry, Topology and Mathematical Physics Journal, Volume 1 (2018)](http://geo-top.org/GTMP/index.php/volume-1-2018/) <a href="https://ncatlab.org/nlab/revision/diff/topological+T-duality/42">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+T-duality/42">v42</a>, <a href="https://ncatlab.org/nlab/show/topological+T-duality">current</a>

   added pointer to

   • Domenico Fiorenza, Hisham Sati, Urs Schreiber,

     T-duality in rational homotopy theory via strong homomotopy Lie algebras (schreiber),

     Geometry, Topology and Mathematical Physics Journal, Volume 1 (2018)

   diff, v42, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 31st 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * [[Domenico Fiorenza]], Mattia Coloma, Eugenio Landi, _A very short note on the (rational) graded Hori map_ ([arXiv:2003.13066](https://arxiv.org/abs/2003.13066)) <a href="https://ncatlab.org/nlab/revision/diff/topological+T-duality/46">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+T-duality/46">v46</a>, <a href="https://ncatlab.org/nlab/show/topological+T-duality">current</a>

   added pointer to today’s

   • Domenico Fiorenza, Mattia Coloma, Eugenio Landi, A very short note on the (rational) graded Hori map (arXiv:2003.13066)

   diff, v46, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 10th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data for: * [[Jonathan Rosenberg]], *Topology, $C^*$-algebras, and string duality*, Regional Conference Series in Mathematics **111**, Amer. Math. Soc. (2009) &lbrack;[doi:10.1090/cbms/111](https://doi.org/10.1090/cbms/111), [ZMATH](http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:05632075&type=pdf&format=complete)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/topological+T-duality/49">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+T-duality/49">v49</a>, <a href="https://ncatlab.org/nlab/show/topological+T-duality">current</a>

   added publication data for:

   • Jonathan Rosenberg, Topology, $C^*$-algebras, and string duality, Regional Conference Series in Mathematics 111, Amer. Math. Soc. (2009) [doi:10.1090/cbms/111, ZMATH]

   diff, v49, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMar 29th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexGave the References-section a new subsection "Geometric refinement" (now [here](https://ncatlab.org/nlab/show/topological+T-duality#ReferencesGeometricRefinement)) <a href="https://ncatlab.org/nlab/revision/diff/topological+T-duality/52">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+T-duality/52">v52</a>, <a href="https://ncatlab.org/nlab/show/topological+T-duality">current</a>

   Gave the References-section a new subsection “Geometric refinement” (now here)

   diff, v52, current

5. • CommentRowNumber5.
   • CommentAuthorperezl.alonso
   • CommentTimeSep 12th 2023
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexIn [1611.06536](https://arxiv.org/abs/1611.06536), at the top of p.37 the phrasing "super Lie algebra of bosonic dimension 10+2" is just suggestive, right? It does not claim it has any relation with a space of signature (10,2) (as indeed the extension described below that still has only one timelike dimension), correct?

   In 1611.06536, at the top of p.37 the phrasing “super Lie algebra of bosonic dimension 10+2” is just suggestive, right? It does not claim it has any relation with a space of signature (10,2) (as indeed the extension described below that still has only one timelike dimension), correct?

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeSep 12th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexYes, that's why the name of the super Lie algebra still has a "$\ldots, 1$" in the superscript. Since it's not a super-Minkowski algebra anymore, the usual naming conventions don't quite apply; but since it's in a manifest way a spatially "doubled" form of a Minkowski algebra, it's still certainly to be thought of as having a single time dimension, yes.

   Yes, that’s why the name of the super Lie algebra still has a “$\ldots, 1$” in the superscript.

   Since it’s not a super-Minkowski algebra anymore, the usual naming conventions don’t quite apply;

   but since it’s in a manifest way a spatially “doubled” form of a Minkowski algebra, it’s still certainly to be thought of as having a single time dimension, yes.

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeOct 11th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's: * [[Tom Dove]], [[Thomas Schick]], *Equivariant Topological T-Duality* &lbrack;[arXiv:2310.06064](https://arxiv.org/abs/2310.06064)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/topological+T-duality/53">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+T-duality/53">v53</a>, <a href="https://ncatlab.org/nlab/show/topological+T-duality">current</a>

   added pointer to today’s:

   • Tom Dove, Thomas Schick, Equivariant Topological T-Duality [arXiv:2310.06064]

   diff, v53, current