Institut de Recherche Mathématique Avancée

Hochschild cohomology of Hilbert schemes of points on surfaces

Abstract We compute the Hochschild cohomology of Hilbert schemes of points on surfaces and observe that it is, in general, not determined solely by the Hochschild cohomology of the surface, but by its “Hochschild–Serre cohomology” – the bigraded vector space obtained by taking Ho...

On spaces of Euclidean triangles and triangulated Euclidean surfaces

Abstract In this paper, we introduce an asymmetric distance function on the space of marked Euclidean triangles of normalised area, and we prove several properties of this metric, which turns out to be (a restriction of) a non-symmetric version of the classical Thompson distance....

The Python simulations of chemistry framework: 10 years of an open-source quantum chemistry project

Over the past decade, the Python-based Simulations of Chemistry Framework (PySCF) has developed into a widely used open-source platform for electronic-structure theory and quantum chemical method development. This article reviews the major advances since the previous overview in...