@misc{10481/72557,
year = {2022},
month = {1},
url = {http://hdl.handle.net/10481/72557},
abstract = {For each k >= 3, we construct a 1-parameter family of complete properly Alexandrov-embedded minimal surfaces in the Riemannian product space H-2 x R with genus 1 and k embedded ends asymptotic to vertical planes. We also obtain complete minimal surfaces with genus 1 and 2k ends in the quotient of H-2 x R by an arbitrary vertical translation. They all have dihedral symmetry with respect to k vertical planes, as well as finite total curvature -4k pi. Finally, we provide examples of complete properly Alexandrov-embedded minimal surfaces with finite total curvature with genus 1 in quotients of H-2 x R by the action of a hyperbolic or parabolic translation.},
organization = {Spanish Government	MTM2017-89677-P	
MCIN/AEI project	PID2019-111531GA-I00	
PID2020-117868GB-I00},
organization = {FPU programme from MICINN},
organization = {EBM/FEDER UJA 2020 project	1380860},
publisher = {Cambridge University Press},
keywords = {Minimal surfaces},
keywords = {Finite total curvature},
keywords = {Minimal k-noids},
keywords = {Saddle towers},
keywords = {Conjugate construction},
title = {Genus 1 minimal k-noids and saddle towers in H-2 x R},
doi = {10.1017/S1474748021000591},
author = {Castro Infantes, Jesús},
}