I gave the entry *super vector space* some expositional background and a more detailed (pedantic) definition.

had need to create an entry *signs in supergeometry*, along the lines of Deligne-Freed’s “Sign manifesto”.

One section of this I copy-and-pasted also to make a new entry *super Cartesian space*.

I am slowly beginning to work on *geometry of physics – supergeometry*. So far there is nothing but the definition of super-Minkowski spacetimes and now a computation (here) that the 7-cocycle on the extension of 11d super Minkowski spacetime by its 4-cocycle descends along the rational Hopf fibration $S^7 \to S^4$ to a cocycle on 11 d super Minkowski spacetime itself with coeffcients in the rational 4-sphere.

I started a bare minimum at *adinkra* and cross-linked with *dessins d’enfants*.

Adinkras were introduced as a graphical tool for classifying super multiplets. Later they were realized to also classify super Riemann surfaces in a way related to dessins d’enfants.

I don’t really know much about this yet. Started the entry to collect some first references. Hope to expand on it later.

]]>I have added explicit details to *super L-infinity algebra*.

Added a remark that the formal dual of this concept was introduced and made use of by supergravity theorists a full decade before plain $L_\infty$-algebras were considered by mathematicians.

(I am writing this material for inclusion in the more comprehensive lecture notes *geometry of physics – superalgebra* and *geometry of physics – fundamental super p-branes*.)

I have expanded the list of references at *supersymmetry and division algebras*.

put a bare minimum into *graded commutator*, just because I needed to link to it.