Math @ Duke

Publications [#361507] of Kirsten G. Wickelgren
Papers Published
 ArcilaMaya, N; Bethea, C; Opie, M; Wickelgren, K; Zakharevich, I, Compactly supported $\mathbb{A}^{1}$Euler characteristic and the
Hochschild complex
(March, 2020)
(last updated on 2023/06/01)
Abstract: We show the $\mathbb{A}^{1}$Euler characteristic of a smooth, projective
scheme over a characteristic $0$ field is represented by its Hochschild complex
together with a canonical bilinear form, and give an exposition of the
compactly supported $\mathbb{A}^{1}$Euler characteristic
$\chi^{c}_{\mathbb{A}^{1}}: K_0(\mathbf{Var}_{k}) \to \text{GW}(k)$ from the
Grothendieck group of varieties to the GrothendieckWitt group of bilinear
forms. We also provide example computations.


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