arXiv subjects

Mathieu Klimczak

Publications and source records attributed to Mathieu Klimczak.

2 recordsLinked to original sources

arXiv2016

Mixed Hodge Structures on the rational homotopy type of intersection spaces

Let $X$ a complex projective variety of complex dimension $n$ with only isolated singularities of simply connected links. We show that we can endow the rational cohomology of the family of the $\overline{p}$-perverse intersection spaces $\{ I^{\overline{p}}X \}$ with compatible mixed Hodge structures.

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arXiv2015

Poincar\'e duality for spaces with isolated singularities

In this paper we assign, under reasonable hypothesis, to each pseudomanifold with isolated singularities a rational Poincar\'e duality space. These spaces are constructed with the formalism of intersections spaces defined by Markus Banagl and are indeed related to them in the even dimensional case.

math.AT↗