模糊超球
The Fuzzy Supersphere
摘要：
我们引入的模糊超球序列的有限维，非交换$Z_{2}$ -分次代数倾向于在一个适当的限制，一个稠密的子代数的$Z_{2}$ -分次代数的${\cal H}^{\infty}$ -功能的$(2| 2)$维超球。非交换的类似物的身体地图（（模糊）球）和超deRham复杂。特别地，我们再现的超deRham上同调的超球和普通的deRham上同调的身体上的“模糊水平”的平等。
英文摘要：
We introduce the fuzzy supersphere as sequence of finite-dimensional, 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 $(2| 2)$-dimensional supersphere. Noncommutative analogues of the body map (to the (fuzzy) sphere) and the super-deRham complex are introduced. In particular we reproduce the equality of the super-deRham cohomology of the supersphere and the ordinary deRham cohomology of its body on the "fuzzy level".
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