1 citations · 1 across the 5 of their papers we have counts for
8 papers
A Quadratically Enriched Pushforward for Deligne--Mumford Stacks
Candace Bethea, Kirsten Wickelgren
We define a quadratically enriched pushforward for proper morphisms between smooth, proper Deligne--Mumford stacks over an arbitrary field using Grothendieck--Serre duality. We app…
Welschinger--Witt invariants
Erwan Brugallé, Johannes Rau, Kirsten Wickelgren
Welschinger invariants are signed counts of real rational curves satisfying contraints. Quadratic Gromov--Witten invariants give such counts over general fields of characteristic d…
A quadratic Abramovich-Bertram formula
Erwan Brugallé, Kirsten Wickelgren
Quadratic Gromov--Witten invariants allow one to obtain an arithmetically meaningful count of curves satisfying constraints over a field without assuming that is the field…
The equivariant degree and an enriched count of rational cubics
Candace Bethea, Kirsten Wickelgren
We define the equivariant degree and local degree of a proper -equivariant map between smooth -manifolds when is a compact Lie group and prove a local to global result. W…
Quadratically enriched binomial coefficients over a finite field
Chongyao Chen, Kirsten Wickelgren
We compute an analogue of Pascal's triangle enriched in bilinear forms over a finite field. This gives an arithmetically meaningful count of the ways to choose ring homomorphis…
Motivic configurations on the line
John Igieobo, Stephen McKean, Steven Sanchez +2
For each configuration of rational points on the affine line, we define an operation on the group of unstable A1 motivic homotopy classes of endomorphisms of the projective line. W…
Compactly supported -Euler characteristic and the Hochschild complex
Niny Arcila-Maya, Candace Bethea, Morgan Opie +2
We show the -Euler characteristic of a smooth, projective scheme over a characteristic field is represented by its Hochschild complex together with a canonical…
Universal covering spaces and fundamental groups in algebraic geometry as schemes
Ravi Vakil, Kirsten Wickelgren
In topology, the notions of the fundamental group and the universal cover are closely intertwined. By importing usual notions from topology into the algebraic and arithmetic settin…