$$ell ^2$$ℓ2-Betti numbers of random rooted simplicial complexes
$$ell ^2$$ℓ2-Betti numbers of random rooted simplicial complexes
复制标题
$$ell ^2$$ℓ2-随机有根单纯复形的贝蒂数
作者：
M. Schrödl
本文定义了根单纯复形空间上的幺模测度，并将每个测度与一个链复形和一个迹函数相联系。因此，我们可以定义么模随机根单纯复形的2-Betti数，并证明它们在Benjamini-Schramm收敛下是连续的。
AbstractWe define unimodular measures on the space of rooted simplicial complexes and associate to each measure a chain complex and a trace function. As a consequence, we can define $$ell ^2$$ℓ2-Betti numbers of unimodular random rooted simplicial complexes and show that they are continuous under Benjamini-Schramm convergence.