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supermanifolds - elementary introduction?

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I am looking for an elementary but mathematically precise introductory text on supermanifolds in a modern differential geometric setting.

Elementary in the sense that there is plenty of motivation for the concepts and methods, and that these are explained in some detail with simple examples featuring only few bosonic and one fermionic coordinates, for example $R^{1|1}$ or $OSp(1|1)$.

This post imported from StackExchange MathOverflow at 2017-04-21 18:18 (UTC), posted by SE-user Arnold Neumaier

asked Apr 19, 2017 in Mathematics by Arnold Neumaier (15,787 points) [ revision history ]
edited Apr 21, 2017 by Dilaton

There is an old review by Leites but I don't know if it has been superseded by a better or more recent reference. You can also look at the two IAS volumes on QFT edited by Deligne et al.

This post imported from StackExchange MathOverflow at 2017-04-21 18:18 (UTC), posted by SE-user Abdelmalek Abdesselam

commented Apr 19, 2017 by Abdelmalek Abdesselam (640 points) [ no revision ]

@AbdelmalekAbdesselam: Did you mean the following paper? math.northwestern.edu/~spoho/pdf/Leites.pdf

This post imported from StackExchange MathOverflow at 2017-04-21 18:18 (UTC), posted by SE-user Arnold Neumaier

commented Apr 19, 2017 by Arnold Neumaier (15,787 points) [ no revision ]

yes that's the one

This post imported from StackExchange MathOverflow at 2017-04-21 18:18 (UTC), posted by SE-user Abdelmalek Abdesselam

commented Apr 19, 2017 by Abdelmalek Abdesselam (640 points) [ no revision ]

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