 98283 Grosse H., Reiter G.
 The Fuzzy Supersphere
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Apr 21, 98

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Abstract. We introduce the fuzzy supersphere as sequence of finitedimensional,
noncommutative $Z_{2}$graded algebras tending in a suitable limit to a dense
subalgebra of the $Z_{2}$graded algebra of ${\cal H}^{\infty}$functions on the
$(2\vert 2)$dimensional supersphere. Noncommutative analogues of the
body map (to the (fuzzy) sphere) and the superdeRham complex are introduced.
In particular we reproduce the equality of the superdeRham cohomology of the supersphere
and the ordinary deRham cohomology of its body on the "fuzzy level".
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