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finally added to crossed complex…. the definition! :-)
Also added a paragraph on what the crossed complex associated to a strict globular ∞-groupoid is.
for hyperlinking references at model structure on chain complexes
How about the terminology “sub-modal object” for a subobject of a modal object?
[or maybe better: for which specifically the modality unit is a monomorphism]
In line with “subquotient”.
E.g. concrete objects would be the sub-♯-modal objects.
(or alternatively: separated modal objects, in line with separated presheaves ??)
created The Rising Sea to record a reference (once I had found it)
brief category:people-entry fro hyperlinking references at rational homotopy theory and model structure on dgc-algebras
started a Reference-entry on the book Connections, Curvature, and Cohomology
added a quick paragraph under Omega-spectrum – Examples – Completion of a suspension spectrum.
added pointer to:
{#Buchstaber70} Victor Buchstaber, The Chern–Dold character in cobordisms. I,
Russian original: Mat. Sb. (N.S.), 1970 Volume 83(125), Number 4(12), Pages 575–595 (mathnet:3530)
English translation: Mathematics of the USSR-Sbornik, Volume 12, Number 4, AMS 1970 (doi:10.1070/SM1970v012n04ABEH000939)
brief category:people-entry for hyperlinking references at heterotic line bundle model
brief category:people-entry for hyperlinking references at heterotic string theory
brief category: people-entry for hyperlinking references at holographic entanglement entropy and(!) AQFT
unitary matrix. just for completeness
brief category: people-entry for hyperlinking references at localization of a space and modal homotopy type theory
added pointer to:
added pointer to the article introducing the Dieudonné determinant under “Selected writings”.
Now it looks funny that no other of his references are listed here. Hopefully somebody feels awkward enough about this to go ahead and add something.
brief category: people-entry for hyperlinking references at SL(2,H) and supersymmetry and division algebras
brief category: people-entry for hyperlinking references at SL(2,H) and supersymmetry and division algebras
Finally starting this entry, prodded by it being requested now at univalent foundations for mathematics.
Added a reference
brief category: people-entry for hyperlinking references at Calabi-Penrose fibration
brief category: people-entry for hyperlinking references at higher category theory and physics
brief category: people-entry for hyperlinking references at twistor fibration
brief category:people-entry for hyperlinking references at twistor fibration
added pointer to today’s
I used to point to Theorem 5.1.3.6 in http://www.math.harvard.edu/~lurie/papers/higheralgebra.pdf for the May recognition theorem. Now that file is gone, superceded by http://www.math.harvard.edu/~lurie/papers/HA.pdf and the numbering changed. Where in the new file is the May recognition theorem? (It’s not referred to under this name, unfortunately.)
started extracting stuff from Ek-Algebras
added the statement of the main result and created a new subsection at k-tuply monoidal n-category to link to it
renamed the previous entry E-k operad into little cubes operad
am giving this an entry of its own, split off from motivic homotopy theory.
Nothing much here yet, just a bare minimum so far
created stub for etale cohomology
stub for geometrization conjecture
brief category: people-entry for hyperlinking references at pillowcase orbifold
at Atiyah Lie groupoid was this old query box discussion, which hereby I am moving from there to here:
+– {: .query} What is all of this diag stuff? I don't understand either (P×P)/diagG or (Px×Px)diagG. —Toby
David Roberts: It’s to do with the diagonal action of G on P×P as opposed to the antidiagonal (if G is abelian) or the action on only one factor. I agree that it’s a bad notation.
Toby: How well do you think it works now, with the notation suppressed and a note added in words? (For what it's worth, the diagonal action seems to me the only obvious thing to do here, although admittedly the others that you mention do exist.)
Todd: I personally believe it works well. A small note is that this construction can also be regarded as a tensor product, regarding the first factor P as a right G-module and the second a left module, where the actions are related by gp=pg−1.
Toby: H'm, maybe we should write diagonal action if there's something interesting to say about it. =–
brief category: people-entry for hyperlinking references at Riemannian orbifold
I have expanded the Idea-section at moduli stack of elliptic curves, have tried to add more pertinent references, and have touched the subsection on “Over general rings” and on the derived version.
In the course of this I started to split off some entries such as nodal cubic curve (which now has a little bit of content) and cuspidal cubic curve (which does not yet).
breif category:people-entry for hyperlinking references at parametrized stable homotopy theory
brief category:people-entry for hyperlinking references at hyperbolic manifold and orbifold