渐近不变量和收缩不等式的同调不变性
Homological invariance for asymptotic invariants and systolic inequalities
摘要：
证明了流形的收缩常数、最小熵和球面体积仅依赖于其基本类在泛覆盖分类映射下的象。此外，我们还计算了具有二阶基本群的流形的收缩常数（模为实射影空间上的值），并导出了最小熵与收缩常数之间的一个不等式。
英文摘要：
We show that the systolic constant, the minimal entropy, and the spherical volume of a manifold depend only on the image of the fundamental class under the classifying map of the universal covering. Moreover, we compute the systolic constant of manifolds with fundamental group of order two (modulo the value on the real projective space) and derive an inequality between the minimal entropy and the systolic constant.
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