Not signed in (Sign In)

A discussion forum about contributions to the nLab wiki and related areas of mathematics, physics, and philosophy.

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

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

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

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).

- Discussion Type
- discussion topicD4-D6 brane bound state
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by Urs
- Last Active Nov 26th 2019

- Discussion Type
- discussion topicfuzzy funnel
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by Urs
- Last Active Nov 26th 2019

- Discussion Type
- discussion topicconvolution product
- Category Latest Changes
- Started by nLab edit announcer
- Comments 1
- Last comment by nLab edit announcer
- Last Active Nov 26th 2019

- Discussion Type
- discussion topicYang-Baxter equations -- contents
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 26th 2019

we had and have a disambiguaion entry

*Yang-Baxter equation*(it could do wih some contents, though…) but the entries it points to didn’t cross-link back to each other. This table here to be`!include`

-ed into these entries, for ease of cross-linking

- Discussion Type
- discussion topic1T relation
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 26th 2019

- Discussion Type
- discussion topicinfinitesimal braid relation
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by Urs
- Last Active Nov 26th 2019

- Discussion Type
- discussion topicweight systems are cohomology of loop space of configuration space
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by Urs
- Last Active Nov 26th 2019

starting something, in order to record Theorem 4.2 in

- Toshitake Kohno,
*Loop spaces of configuration spaces and finite type invariants*, Geom. Topol. Monogr. 4 (2002) 143-160 (arXiv:math/0211056)

But HELP: The article states this without proof. I understand how the discussion here and in the other articles now cited in the entry goes towards the proof, but I’d really like to see the actual proof written out. Eventually.

- Toshitake Kohno,

- Discussion Type
- discussion topicchord diagrams and weight systems -- table
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 26th 2019

- Discussion Type
- discussion topic2T relation
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by Urs
- Last Active Nov 26th 2019

a page to record the 2-term relation on horizontal chord diagrams, to go with the entries

*4T relation*and*horizontal weight system*

- Discussion Type
- discussion topicdifferential cohesive (infinity,1)-topos
- Category Latest Changes
- Started by David_Corfield
- Comments 5
- Last comment by Dmitri Pavlov
- Last Active Nov 25th 2019

- Discussion Type
- discussion topicadjoint functor
- Category Latest Changes
- Started by Urs
- Comments 49
- Last comment by Mike Shulman
- Last Active Nov 25th 2019

added at adjoint functor

more details in the section In terms of universal arrows;

a bit in the section Examples

- Discussion Type
- discussion topicdark matter
- Category Latest Changes
- Started by Urs
- Comments 28
- Last comment by Urs
- Last Active Nov 25th 2019

stub for

*dark matter*

- Discussion Type
- discussion topicfiltered objects -- contents
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 25th 2019

- Discussion Type
- discussion topicassociated graded vector space
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 25th 2019

- Discussion Type
- discussion topicfiltered vector space
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 25th 2019

- Discussion Type
- discussion topicintensive or extensive quantity
- Category Latest Changes
- Started by David_Corfield
- Comments 2
- Last comment by David_Corfield
- Last Active Nov 25th 2019

- Discussion Type
- discussion topicJacob Mostovoy
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 25th 2019

brief

`category:people`

-entry for hyperlinking references at*Vassiliev invariant*,*chord diagram*,*Jacobi diagram*,*knot invariant*and elsewhere

- Discussion Type
- discussion topicSergei Duzhin
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 25th 2019

brief

`category:people`

-entry for hyperlinking references at*Vassiliev invariant*,*chord diagram*,*Jacobi diagram*,*knot invariant*and elsewhere

- Discussion Type
- discussion topicSergei Chmutov
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 25th 2019

brief

`category:people`

-entry for hyperlinking references at*Vassiliev invariant*,*chord diagram*,*Jacobi diagram*,*knot invariant*and elsewhere

- Discussion Type
- discussion topicIain Moffat
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 24th 2019

brief

`category:people`

-entry for hyperlinking references at*Vassiliev invariant*

- Discussion Type
- discussion topicDavid Jackson
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 24th 2019

brief

`category:people`

-entry for hyperlinking references at*Vassiliev invariant*

- Discussion Type
- discussion topicVassiliev invariant
- Category Latest Changes
- Started by zskoda
- Comments 12
- Last comment by Urs
- Last Active Nov 24th 2019

I have reorganized somewhat entry Maxim Kontsevich (with some new links and few bits of additional info) and created a related stub Vassiliev invariant, just to record a link to an impressive online bibliography maintained by Dror Bar-Natan and Sergei Duzhin, hosted at Duzhin's webpage at Russian Academy of Sciences.

- Discussion Type
- discussion topicdependent product
- Category Latest Changes
- Started by Urs
- Comments 22
- Last comment by Mike Shulman
- Last Active Nov 24th 2019

I did the following to dependent product:

rearranged the section outline somewhat

added the statement that in type theory $\prod_{x \in X} P_x$ may be written $\forall x : X , P x$;

added a Properties-section

added statement and proof of the relation of dependent product to spaces of sections

- Discussion Type
- discussion topicfolklore
- Category Latest Changes
- Started by Urs
- Comments 16
- Last comment by DavidRoberts
- Last Active Nov 23rd 2019

felt like archiving a quote by Paul Taylor somewhere, it is now at

*folklore*.Besides being funny, it is actually a useful comment for the newbie, and so I linked to it from

*category theory*.

- Discussion Type
- discussion topicD1-D3-brane bound state
- Category Latest Changes
- Started by Urs
- Comments 4
- Last comment by Urs
- Last Active Nov 23rd 2019

- Discussion Type
- discussion topicSanjaye Ramgoolam
- Category Latest Changes
- Started by Urs
- Comments 2
- Last comment by Urs
- Last Active Nov 23rd 2019

brief

`category:people`

-entry for hyperlinking references at*Dp-D(p+2)-brane bound states, Yang-Mills monopoles, knot invariants, chord diagrams and fuzzy spheres*.

- Discussion Type
- discussion topicD0-D2 brane bound state
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 23rd 2019

- Discussion Type
- discussion topicD1-D7 brane bound state
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 23rd 2019

a minimum, to give a home to

- Paul Cook, Robert de Mello Koch, Jeff Murugan,
*Non-Abelian BIonic Brane Intersections*, Phys. Rev. D68:126007, 2003 (arXiv:hep-th/0306250)

on D1-D7 brane intersections as fuzzy funnels on fuzzy 6-spheres

- Paul Cook, Robert de Mello Koch, Jeff Murugan,

- Discussion Type
- discussion topicNeil Constable
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 23rd 2019

brief

`category:people`

-entry for hyperlinking references at*fuzzy funnel*,*D1-D3 brane intersection*,*D1-D5 brane intersection*

- Discussion Type
- discussion topicPaul Koerber
- Category Latest Changes
- Started by Urs
- Comments 1
- Last comment by Urs
- Last Active Nov 23rd 2019

brief

`category:people`

-entry for hyperlinking references at*generalized complex geometry*and*G-structure*