Thompson's group $F$ is not SCY

Stefan Friedl; Stefano Vidussi

doi:10.4171/ggd/315

JournalsggdVol. 9, No. 1pp. 325–329

Thompson's group $F$ is not SCY

Stefan Friedl
Universität Regensburg, Germany
- MathSciNet
- zbMATH Open
Stefano Vidussi
University of California, Riverside, United States
- MathSciNet
- zbMATH Open

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Abstract

In this note we prove that Thompson's group $F$ cannot be the fundamental group of a symplectic 4-manifold with canonical class $K = 0 \in H^{2} (M)$ by showing that its Hausmann–Weinberger invariant $q (F)$ is strictly positive.

Cite this article

Stefan Friedl, Stefano Vidussi, Thompson's group $F$ is not SCY. Groups Geom. Dyn. 9 (2015), no. 1, pp. 325–329

DOI 10.4171/GGD/315