Supersymmetry was created by the physicists in the 1970's to give a unified treatment of
fermions and bosons the basic constituents of matter. Since then its mathematical structure
has been recognized as that of a new development in geometry and mathematicians have busied
themselves with exploring this aspect. This volume collects recent advances in this field both
from a physical and a mathematical point of view with an accent on a rigorous treatment of the
various questions raised.
