论文标题
双曲线，非理性指数和ETA不变性
Hyperbolicity, irrationality exponents and the eta invariant
论文作者
论文摘要
我们考虑在度量触点歧管上ETA不变的半经典限制公式中的剩余项，通常证明它是由ReEB流量的复发集量控制的。这特别给Anosov Reeb流的其余部分提供了对数，而对于某些椭圆流，改进是根据相应的浮雕指数的非理性性测量。
We consider the remainder term in the semiclassical limit formula for the eta invariant on a metric contact manifold, proving in general that it is controlled by volumes of recurrence sets of the Reeb flow. This particularly gives a logarithmic improvement of the remainder for Anosov Reeb flows, while for certain elliptic flows the improvement is in terms of irrationality measures of corresponding Floquet exponents.
