24 citations · 79 across the 15 of their papers we have counts for
16 papers
Factorisability in K-theory
Jørgen Vold Rennemo
We revisit and give a detailed proof of a lemma of Okounkov showing that, for a scheme X with a torus action, the Euler characteristic generating function associated with a "factor…
Proof of a magnificent conjecture
M. Kool, J. V. Rennemo
Motivated by super-Yang-Mills theory on a Calabi-Yau 4-fold, Nekrasov and Piazzalunga have assigned weights to -tuples of solid partitions and conjectured a formula for their we…
A Hopf index for isotropic sections of orthogonal bundles
Martijn Kool, Jeongseok Oh, Jørgen Vold Rennemo +1
The Hopf index equates the multiplicity of a zero of a section of a vector bundle with a winding number. We give eight analogues for isotropic sections of bundles with quadratic fo…
IVHS via Kuznetsov components and categorical Torelli theorems for weighted hypersurfaces
Xun Lin, Jørgen Vold Rennemo, Shizhuo Zhang
We study the categorical Torelli theorem for smooth (weighted) hypersurfaces in (weighted) projective spaces via the Hochschild--Serre algebra of its Kuznetsov component. In the fi…
Fano varieties with torsion in the third cohomology group
John Christian Ottem, Jørgen Vold Rennemo
We construct first examples of Fano varieties with torsion in their third cohomology group. The examples are constructed as double covers of linear sections of rank loci of symmetr…
Automorphisms of Hilbert schemes of points on surfaces
Pieter Belmans, Georg Oberdieck, Jørgen Vold Rennemo
We show that every automorphism of the Hilbert scheme of points on a weak Fano or general type surface is natural, i.e. induced by an automorphism of the surface, unless the su…