Duality Functor
Consider the dimensional supermanifold . We will slightly change the notations
and instead of denote the coordinates as follows:
Moreover, once we changed the notations for coordinates, we will also rename the supermanifold itself:
The duality functor is an autofunctor on the category of -dimensional
supermanifolds. To every supermanifold it associates a dual supermanifold
which is the moduli space of -dimensional submanifolds in
. We will denote it :