Abstract
We prove that for there is no compact arithmetic hyperbolic –manifold whose Euler characteristic has absolute value equal to . In particular, this shows the nonexistence of arithmetically defined hyperbolic rational homology –spheres with even and different than .
Citation
Vincent Emery. "On compact hyperbolic manifolds of Euler characteristic two." Algebr. Geom. Topol. 14 (2) 853 - 861, 2014. https://doi.org/10.2140/agt.2014.14.853
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