Geodesic
Multiplicative de Rham Theorems for Relative and Intersection Space Cohomology
Journal of Singularities, Tome 19 (2019), pp. 97-130

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We construct an explicit de Rham isomorphism relating the cohomology rings of Banagl's de Rham and spatial approach to intersection space cohomology for stratified pseudomanifolds with isolated singularities. Intersection space (co-)homology is a modified (co-)homology theory extending Poincaré Duality to stratified pseudomanifolds. The novelty of our result compared to the de Rham isomorphism given previously by Banagl is, that we indeed have an isomorphism of rings and not just of graded vector spaces. We also provide a proof of the de Rham Theorem for cohomology rings of pairs of smooth manifolds which we use in the proof of our main result.
DOI : 10.5427/jsing.2019.19g
Classification : :55N33, 55N30, 14J17, 58A10, 58A12, secondary:57P10, 81T3, 14J33 
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     author = {Franz Wilhelm Schl\"oder and J. Timo Essig},
     title = {Multiplicative de {Rham} {Theorems} for {Relative} and {Intersection} {Space} {Cohomology}},
     journal = {Journal of Singularities},
     pages = {97--130},
     publisher = {mathdoc},
     volume = {19},
     year = {2019},
     doi = {10.5427/jsing.2019.19g},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2019.19g/}
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Franz Wilhelm Schlöder; J. Timo Essig. Multiplicative de Rham Theorems for Relative and Intersection Space Cohomology. Journal of Singularities, Tome 19 (2019), pp. 97-130. doi: 10.5427/jsing.2019.19g

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