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∈H2(M) by showing that its Hausmann–Weinberger invariant q(F) is strictly positive.
1
Universität Regensburg, Germany
2
University of California, Riverside, United States
Stefan Friedl; Stefano Vidussi. Thompson's group $F$ is not SCY. Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 325-329. doi: 10.4171/ggd/315
@article{10_4171_ggd_315,
author = {Stefan Friedl and Stefano Vidussi},
title = {Thompson's group $F$ is not {SCY}},
journal = {Groups, geometry, and dynamics},
pages = {325--329},
year = {2015},
volume = {9},
number = {1},
doi = {10.4171/ggd/315},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/315/}
}
TY - JOUR
AU - Stefan Friedl
AU - Stefano Vidussi
TI - Thompson's group $F$ is not SCY
JO - Groups, geometry, and dynamics
PY - 2015
SP - 325
EP - 329
VL - 9
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/315/
DO - 10.4171/ggd/315
ID - 10_4171_ggd_315
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%J Groups, geometry, and dynamics
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%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/315/
%R 10.4171/ggd/315
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