论文标题

Atiyah-Bott Lefschetz公式应用于SU的基于循环(2)

The Atiyah-Bott Lefschetz Formula Applied to the Based Loops on SU(2)

论文作者

Ding, Jack

论文摘要

Atiyah-Bott Lefschetz公式是一种众所周知的公式,用于在紧凑的光滑歧管上计算椭圆算子的模棱两可索引。我们为自然$(t \ times s^1)$ - 动作提供了此公式的类似物。从此结果,我们还得出了计算某些启用模块字符的有效公式。

The Atiyah-Bott Lefschetz Formula is a well-known formula for computing the equivariant index of an elliptic operator on a compact smooth manifold. We provide an analogue of this formula for the based loop group $ΩSU(2)$ with respect to the natural $(T \times S^1)$-action. From this result we also derive an effective formula for computing characters of certain Demazure modules.

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