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 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 sheaves 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.
   • CommentAuthorzskoda
   • CommentTimeFeb 15th 2010
   • PermaLink
   Author: zskoda
   Format: MarkdownNew stub [[holonomic quantum field]]. Very deep relation between [[monodromy]] involving approach to [[integrable systems]] and a class of QFTs has been discovered in Japan in 1970s.

   New stub holonomic quantum field. Very deep relation between monodromy involving approach to integrable systems and a class of QFTs has been discovered in Japan in 1970s.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeFeb 15th 2010
   • (edited Feb 15th 2010)
   • PermaLink
   Author: zskoda
   Format: MarkdownUrs, i am still working on the entry... Edit: there is no single idea in the article yet. Hence title idea not appropriate. Edit 2: I think the tables of contents are useful once the article is long, say longer than a screen page. When it is shorter it is in my opinion just ugly :) to have several big titles and big fonts hiding and treatening the small little text ;(, and messing the visual memories of visual people (say my own). I hope the entry [[holonomic quantum field]]s grows soon to long enough to deserve its own toc though :) !!

   Urs, i am still working on the entry...

   Edit: there is no single idea in the article yet. Hence title idea not appropriate.

   Edit 2: I think the tables of contents are useful once the article is long, say longer than a screen page. When it is shorter it is in my opinion just ugly :) to have several big titles and big fonts hiding and treatening the small little text ;(, and messing the visual memories of visual people (say my own). I hope the entry holonomic quantum fields grows soon to long enough to deserve its own toc though :) !!

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 15th 2010
   • PermaLink
   Author: Urs
   Format: Markdownsure, no prob. Just added section titles. Don't forget to link [[differential equation]] and [[integrable system]] and the like

   sure, no prob. Just added section titles.

   Don't forget to link differential equation and integrable system and the like

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeFeb 15th 2010
   • (edited Feb 15th 2010)
   • PermaLink
   Author: zskoda
   Format: MarkdownI added HQF V. All V and supplement are downloadable. The supplement has opposite order of the authors for some reason. The studies have occasionally some other authors, not the three from HQF I/V. Thanks for the tip about diff eqs (I had linked before [[integrable systems]] and the link disappeared probably when we both edited the entry). I disagree that most mathematicians know what [[differential equation]] is. We know in some simple cases. To know this in bigger generality, we should know a lot -- say what a solution of a diff. equation is, and for that we need to define things like weak solutions etc. which are in general a difficult problem. Question: in renormalization there is also some Riemann-Hilbert problem involved, who knows if it can be somehow remotely related to the business of the now classical Japanese discovery...

   I added HQF V. All V and supplement are downloadable. The supplement has opposite order of the authors for some reason. The studies have occasionally some other authors, not the three from HQF I/V. Thanks for the tip about diff eqs (I had linked before integrable systems and the link disappeared probably when we both edited the entry).

   I disagree that most mathematicians know what differential equation is. We know in some simple cases. To know this in bigger generality, we should know a lot -- say what a solution of a diff. equation is, and for that we need to define things like weak solutions etc. which are in general a difficult problem.

   Question: in renormalization there is also some Riemann-Hilbert problem involved, who knows if it can be somehow remotely related to the business of the now classical Japanese discovery...

5. • CommentRowNumber5.
   • CommentAuthorzskoda
   • CommentTimeFeb 15th 2010
   • (edited Feb 15th 2010)
   • PermaLink
   Author: zskoda
   Format: MarkdownLet me know if I messed one of the many links to articles in series holonomic...I hope somebody will peek at them. I spent few evenings reading these last year, it was very enjoyable, but I forgot most of it and never really understood much more than introduction. Actually I also had that book first in hands as physics undergraduate many years ago, and I looked at the text which was at that time totally incomprehensible to me, but by some features it looked to me like "this is real mathematical physics. I would like to understand that one day." I would never guess that after so many years I would still not be done with the task, and mainly not even up to it :)

   Let me know if I messed one of the many links to articles in series holonomic...I hope somebody will peek at them. I spent few evenings reading these last year, it was very enjoyable, but I forgot most of it and never really understood much more than introduction. Actually I also had that book first in hands as physics undergraduate many years ago, and I looked at the text which was at that time totally incomprehensible to me, but by some features it looked to me like "this is real mathematical physics. I would like to understand that one day." I would never guess that after so many years I would still not be done with the task, and mainly not even up to it :)