2 citations · 4 across the 7 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…
Local multiplicities for an equivariantly enriched non-transverse Bézout's theorem
Candace Bethea, Charanya Ravi
We introduce the degree and local degree in equivariant motivic homotopy theory for the purpose of studying equivariant enumerative problems over general fields. Given a finite, ta…
The Evolution of Enumerative Geometry: A Narrative from Classical Problems to Enriched Invariants
Candace Bethea, Thomas Brazelton
Enumerative geometry, the art and science of counting geometric objects satisfying geometric conditions, has seen a resurgence of activity in recent years due to an influx of new t…
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…
Bitangents to symmetric quartics
Candace Bethea, Thomas Brazelton
Recall that a non-singular planar quartic is a canonically embedded non-hyperelliptic curve of genus three. We say such a curve is symmetric if it admits non-trivial automorphisms.…
An enriched count of nodal orbits in an invariant pencil of conics
Candace Bethea
This work gives an equivariantly enriched count of nodal orbits in a general pencil of plane conics that is invariant under a linear action of a finite group on . Th…
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…
An Example of Wild Ramification in an Enriched Riemann-Hurwitz Formula
Candace Bethea, Jesse Leo Kass, Kirsten Wickelgren
M. Levine proved an enrichment of the classical Riemann-Hurwitz formula to an equality in the Grothendieck-Witt group of quadratic forms. In its strongest form, Levine's theorem in…