Witt空间上迭代尖点度量的Hodge上同调
Hodge cohomology of iterated fibred cusp metrics on Witt spaces
摘要：
在光滑分层空间上，我们确定了任意给定反常的交上同调与相关的加权$L^2$上同调迭代的尖点度量光滑层。特别是在Witt空间中，我们证明了迭代尖点度量的$L^2$上同调与相应分层空间的中反常交上同调.
英文摘要：
On a smoothly stratified space, we identify intersection cohomology of any given perversity with an associated weighted $L^2$ cohomology for iterated fibred cusp metrics on the smooth stratum. In particular given a Witt space, we identify the $L^2$ cohomology of iterated fibred cusp metrics with the middle perversity intersection cohomology of the corresponding stratified space.
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