6 papers
The -Euler characteristic of symmetric powers
Louisa F. Bröring, Jesse Pajwani, Anna M. Viergever
The -Euler characteristic is a refinement in algebraic geometry of the classical topological Euler characteristic, which can be constructed using motivic homotopy the…
Quadratic Donaldson-Thomas invariants for and some other smooth proper toric threefolds
Marc Levine, Anna M. Viergever
Using virtual localization in Witt sheaf cohomology, we show that the generating series of quadratic Donaldson-Thomas invariants of , valued in the Witt ring of $…
Quadratic Euler Characteristic of Symmetric Powers of Curves
Lukas F. Bröring, Anna M. Viergever
We compute the quadratic Euler characteristic of the symmetric powers of a smooth, projective curve over any field that is not of characteristic two, using the Motivic Gauss-Bo…
Compactly supported -Euler characteristics of symmetric powers of cellular varieties
Jesse Pajwani, Herman Rohrbach, Anna M. Viergever
The compactly supported -Euler characteristic, introduced by Hoyois and later refined by Levine and others, is an anologue in motivic homotopy theory of the classical…
Low degree motivic Donaldson-Thomas invariants of the three-dimensional projective space
Anna M. Viergever
Levine has constructed motivic analogues of virtual fundamental classes, living in cohomology of Witt sheaves. We use this to define motivic Donaldson-Thomas invariants $\tilde{I}_…
The quadratic Euler characteristic of a smooth projective same-degree complete intersection
Anna M. Viergever
We find an algorithm to compute the quadratic Euler characteristic of a smooth projective complete intersection of hypersurfaces of the same degree. As an example, we compute the q…