Not signed in (Sign In)

Not signed in

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

  • Sign in using OpenID

Site Tag Cloud

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

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

Welcome to nForum
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).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 28th 2011

    created a reference-entry Homotopy Limit Functors on Model Categories and Homotopical Categories and added pointers to it to a bunch of relevant entries

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 28th 2011

    and added finally the original references to simplicial localization – an entry that is woefully underdeveloped

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeFeb 28th 2011
    • (edited Feb 28th 2011)

    Crnković was a student of Witten, now unfortunately in finance. Please distinguish ć and č, č is in Russian names, Croatians have both č and ć which carry a weight of a distinct phonems. In my memory, K. Gawędzki wrote an article or review in which he said that the infinite-dimensional symplectic formalism from Crnković-Witten papers is, unlike the impression from the paper, in essence not new, and listed several papers from diverse authors preceding it which tackled the subject.

    Maybe these are some of the relevant references

    • J. Kijowski and W. Szczyrba [1976], A canonical structure for classical field theories, Commun. Math. Phys. 46, 183–206.

    • J. Kijowski and W. Tulczyjew [1979], A symplectic framework for field theories, Lecture Notes in Physics 107, Springer.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeFeb 28th 2011

    Interesting. Do you need to check if these references are relevant or should we add them to the entry?

    (Did you mean to post this here in the thread on phase space?)

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeFeb 28th 2011

    I have moved the entry above to the correct address as you suggested. The above two references are relevant, at least I know that the author is relevant for the story and I read some of his papers in this vain, when graduate student in mid 1990s. On the other hand, I do not know how relevant is the longer list which I picked up at some blog which I linked at phase space. I have some deadlines today and tomorrow and should not go into opening the references.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 19th 2021
    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJun 24th 2022

    A historically important early manuscript draft of this book is

    The draft serves as an original reference for the Kan recognition theorem (in §II.8) and the Kan transfer theorem (in §II.9), as well as cofibrantly generated model categories (in Chapter II). This material did not make it to the book.

    diff, v3, current