# nLab synthetic differential supergeometry

superalgebra

and

supergeometry

## Applications

#### Synthetic differential geometry

differential geometry

synthetic differential geometry

# Contents

## Idea

Synthetic differential supergeometry pairs the concepts of

with those of

## References

The article

• Anatoly Konechny, Albert Schwarz, Theory of $(k \oplus l|q)$-dimensional supermanifolds Sel. math., New ser. 6 (2000) 471-486

considers manifolds with odd and even nilpotent functions: formal supermanifolds.

Synthetic supergeometry is also discussed in

• H. Nishimura, Synthetic differential supergeometry, International Journal of Theoretical Physics, Volume 37, Number 11 (1998) (journal)

• H. Nishimura, Differential forms in synthetic differential supergeometry, International Journal of Theoretical Physics, Volume 38, Number 2 / February 1999 (journal)

• H. Nishimura, Supersmooth topoi, International Journal of Theoretical Physics, Volume 39, Number 5 (journal)

• H. Nishimura, Synthetic theory of superconnections, International Journal of Theoretical Physics, 39 (journal)

Revised on March 3, 2015 13:07:19 by Urs Schreiber (78.102.213.29)