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- W2017912662 abstract "Given a compact stratified pseudomanifold with a Thom-Mather stratification and a class of riemannian metrics over its regular part, we study the relationships between the $L^{2}$ de Rham and Hodge cohomology and the intersection cohomology of $X$ associated to some perversities. More precisely, to a kind of metric which we call emph{quasi edge with weights}, we associate two general perversities in the sense of G. Friedman, $p_{g}$ and its dual $q_{g}$. We then show that the absolute $L^{2}$ Hodge cohomology is isomorphic to the maximal $L^{2}$ de Rham cohomology and this is in turn isomorphic to the intersection cohomology associated to the perversity $q_{g}$. Moreover we prove that the relative $L^{2}$ Hodge cohomology is isomorphic to the minimal $L^{2}$ de Rham cohomology and this is in turn isomorphic to the intersection cohomology associated to the perversity $p_{g}$." @default.
- W2017912662 created "2016-06-24" @default.
- W2017912662 creator A5002041393 @default.
- W2017912662 date "2011-07-20" @default.
- W2017912662 modified "2023-10-12" @default.
- W2017912662 title "General perversities and L^2 de Rham and Hodge theorems for stratified pseudomanifolds" @default.
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- W2017912662 doi "https://doi.org/10.48550/arxiv.1107.3972" @default.
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