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-entry for hyperlinking references at gapped Hamiltonian
I have done a fair bit of editing to décalage.
expanded the Definition-section to make it contain explcitly the three different perspectives and their relation:
a) in components, b) as a restriction of ordinary décalage, c) in terms of joins and cones;
changed notation from “” to “”, not to collide with the notation for total décalage;
finally added the explicit discussion and proof that for a Kan complex, is a Kan fibration replacement of the canonical effective epimorphism . (you may remember – but hopefully not – that we had a bit of confused discussion about this a few years back, which I don’t want to keep from falling into oblivion by linking to it again… ;-)
added more references with some of the lemmas that I am citing, mostly by Danny Stevenson, and also a technical result in Joyal’s lectures.
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-entry for hyperlinking references at computational topology
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-entry for hyperlinking references at tensor network and elsewhere
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-entry for hyperlinking references at p-adic string theory
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-entry for hyperlinking references at tensor network state and holographic entanglement entropy
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-entry for hyperlinking references at tensor network and at holographic entanglement entropy
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-entry for hyperlinking references at tensor network
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-entry for hyperlinking references at computational topology
a stub for the moment just so as to give a home to
and to cross-link with p-adic AdS/CFT correspondence and tensor network states.
I edited lambda-ring, added a definition from the thesis of John R. Hopkins. Later on I will add the definitions of Hazewinkel, too. This entry has a long (and very instructive) idea-section. Maybe I find time to fill in some more details to these ideas.
added pointer to today’s
at books about string theory I have added some paragraphs with descriptions of books in the first section (“Mathematically inclined monographs about string theory”)
I see that Ben Webster was so kind to start knot invariant.
That nicely supplies linkes for Bruce's recent Chern-Simons theory
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-entry for hyperlinking references at cohomotopy
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-entry for hyperlinking references at AdS/CFT in condensed matter physics
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-entry for hyperlinking references at AdS/CFT in condensed matter physics
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-entry for hyperlinking references at quantum probability theory
Can we think of free cocompletion as a left adjoint? In what follows, by ’cocomplete’ I mean ’having all small colimits’.
Free cocompletion can’t be a left adjoint functor from (the category of small categories) to (the category of locally small cocomplete categories), because there’s no right adjoint .
Also surely not from to (the category of small cocomplete categories), because there just aren’t enough small cocomplete categories: only posets.
The article on free cocompletion mentions a free cocompletion functor from (the category of locally small categories) to , studied by Day and Lack. There’s an obvious candidate right adjoint from to . So this might work!
Does it?
Day and Lack work in the enriched case, and I’m a bit confused, but they seem to imply that free cocompletion is a pseudomonad on , which would be a step in the right direction.
Started page, more to come. The content will be more or less dual to the one of tensor product of algebras over a commutative monad, with as little overlap as possible.
This is a bare section to be !include
-ed into other relavant entries (notably Dp-D(p+2)-brane intersection and fuzzy funnel, but maybe also elsewhere). It contains one sub-section – and nothing else.
added pointer to discussion of coupling of the super 2-brane in 4d to D=4 N=1 super Yang-Mills theory:
a beginning at geometric Langlands correspondence
added a bit to framed manifold
Detection of the 21cm hydrogen absorption line expected in the CMB has been claimed now. Such a detection is thought to have implications for observational cosmology comparable in relevance to those of the recent gravitational wave detection. I have collected some original articles and reviews here in an otherwise empty entry hydrogen line
I have reorganised set theory and spun off material set theory.
I keep having the need to point to something like mass gap problem. So now I created a stub for it, just so that the links works. Has to be expanded, clearly.
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-entry for hyperlinking references at flavour problem and flavour anomaly
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-entry for hyperlinking references at flavour (particle physics) and at flavour anomaly