In this paper we exhibit sequences of torsion-free lattices (both uniform and non-uniform) that have arbitrarily large systole, but all containing a thin surface subgroup of fixed genus.
Acknowledgements
Both authors supported in part by the NSF.
Author information
D. D. Long: Department of Mathematics
University of California
Santa Barbara, CA 93106, USA long@math.ucsb.edu
A. W. Reid: Department of Mathematics
Rice University
Houston, TX 77005, USA alan.reid@rice.edu
