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Weighted Hodge cohomology of iterated fibred cusp metrics

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Abstract

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.

Résumé

Sur une variété stratifiée admettant une résolution par une variété à coins fibrés, on identifie la cohomologie d’intersection, pour une perversité donnée, avec la cohomologie \(L^2\) à poids d’une métrique à cusps fibrés itérée définie sur la strate lisse.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Loughborough University, Loughborough, UK

    Eugénie Hunsicker

  2. Département de Mathématiques, Université du Québec à Montréal (UQAM), Montréal, QC, Canada

    Frédéric Rochon

Authors
  1. Eugénie Hunsicker
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  2. Frédéric Rochon
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Correspondence to Frédéric Rochon.

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Hunsicker, E., Rochon, F. Weighted Hodge cohomology of iterated fibred cusp metrics. Ann. Math. Québec 39, 177–184 (2015). https://doi.org/10.1007/s40316-015-0029-3

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  • DOI: https://doi.org/10.1007/s40316-015-0029-3

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