Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
I have started a stub for smooth super infinity-groupoids, with the evident definition and observation that this is cohesive, but nothing else so far. To be worked on. (similar to locally-contractible infinity-groupoid)
I have added a pointer to
I am not really sure yet what to make of that article, but it does roughly go in the direction of regarding supermanifolds as sheaves on a combination of smooth manifolds and superpoints (the point here being: if done fully, this would exhibit them as sheaves on an $\infty$-cohesive site).
I have also added the references by Nishimura, who does more explicitly consider the sites $SmoothManifolds \ltimes Superpoints$. However, here too I somewhat still have to make up my mind about what to make of these discussions.
I have added to smooth super infinity-groupoid some remarks on how it is cohesive over $Super \infty Grpd$ and over $\infty Grpd$.
I have removed the hints that there is an argument for this via externalized internal sites. Once I thought that would be a cool way to say it, but on the one hand it is overkill for what is a simple statement to check directly, and on the other hand I couldnâ€™t in fact quite recall how I thought the argument via internal sites actually worksâ€¦
1 to 4 of 4