论文标题
关于最大偏差差分运算符的指数
On the index of maximally hypoelliptic differential operators
论文作者
论文摘要
我们为所有具有矢量束系数的封闭歧管上的所有 * - 最大层次差异差分运算符提供了一个索引公式，从而概括了Atiyah-Singer和van Erp的先前索引公式。使用此公式，我们为Hormander的任意等级的Squares运算符总和提供了新的明确索引计算。
We give an index formula for the class of all *-maximally hypoelliptic differential operators on any closed manifold with vector bundle coefficients, generalising previous index formulas by Atiyah-Singer and van Erp. Using this formula, we give new explicit index computations for Hormander's sum of squares operators of arbitrary rank.
