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4 votes

Contraction of graded vector fields on de Rham complex

I don't know whether to take your last line as an invitation or a slight, but I'll do my best with an answer. As you probably already know, I am (often uselessly) verbose. I like to think of $\Omega …
Theo Johnson-Freyd's user avatar
5 votes
Accepted

A good reference for learning about super-differentiation & super-integration?

I have never tried to keep straight the different sign conventions in the literature. There is a good reason for this: it is a theorem of category theory that any reasonable sign convention is as goo …
Theo Johnson-Freyd's user avatar
15 votes
Accepted

Is the category $\operatorname{sVect}$ an "algebraic closure" of $\operatorname{Vect}$?

$\newcommand\sVec{\mathrm{sVec}}\newcommand\Vec{\mathrm{Vec}}$Yes. Over an algebraically closed field of characteristic $0$, $\sVec$ is the algebraic closure of $\Vec$. By "algebraic closure" of $K$ I …
Theo Johnson-Freyd's user avatar