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added this to the list of references:
Speculative remarks on the possible role of maps from spacetime to the 4-sphere in some kind of quantum gravity via spectral geometry are in
reviewed in
Alain Connes, section 4 of Geometry and the Quantum, Foundations of Mathematics and Physics One Century After Hilbert. Springer, Cham, 2018. 159-196 (arXiv:1703.02470)
Alain Connes, from 58:00 to 1:25:00 in Why Four Dimensions and the Standard Model Coupled to Gravity - A Tentative Explanation From the New Geometric Paradigm of NCG, talk at IHES, 2017 (video recording)
I have tried to give algebraic topology a better Idea-section.
I had started an entry “exponentiation” but then thought better of it and instead expanded the existing exponential object: added an examples-section specifically for and made some remarks on exponentiation of numbers.
starting something, recording Theorem 6 in
not done yet…
I created a short page for chord diagram, and also added a bit of relevant information to Vassiliev invariant.
created traced monoidal category with a bare minimum
I would have sworn that we already had an entry on that, but it seems we didn’t. If I somehow missed it , let me know and we need to fix things then.
I added to star-autonomous category a mention of “-autonomous functors”.
brief category:people-entry for hyperlinking references at black hole information paradox, holographic entanglement entropy and elsewhere
brief category:people-entry for hyperlinking references at black hole information paradox, holographic entanglement entropy and elsewhere
added pointer, here and in related entries, to
being one of the early references considering the computation of black hole radiation in terms of thermal field theory on Wick-rotated spacetimes with compact/periodic “Euclidean time”.
http://ncatlab.org/nlab/show/Isbell+duality
Suggests that Stone, Gelfand, … duality are special cases of the adjunction between CoPresheaves and Presheaves. A similar question is raised here. http://mathoverflow.net/questions/84641/theme-of-isbell-duality
However, this paper http://www.emis.ams.org/journals/TAC/volumes/20/15/20-15.pdf
seems to use another definition. Could someone please clarify?
expanded brane
first a little remark on what D-branes are abstractly, in reply to an MO-question, then something on fundamental branes, going along with the discussion on the Café
created Whitehead theorem, including its (oo,1)-topos version
in that context I also created hypercomplete (infinity,1)-topos. maybe that should be merged eventually with hypercompletion.
I tried to implement the connection between D-modules and quasicoherent sheaves a bit more
added to D-module the alternative definition in terms of quasicoherent sheaves of the deRham space
added to deRham space accordingly a pointer to D-modules (also fixed wrong notation in the formulas there)
added to quasicoherent sheaf at the very bottom a pointer to D-modules.
This needs improving. Notably good references should be given.
for completeness and for recording
and the fuzzy funnel-geometry reviewed/highlighted in
Added
starting something, in order to record Theorem 1 in
brief category:people-entry for hyperlinking references at Rozansky-Witten theory