TY - JOUR
T1 - The genus two goeritz group of S2 × S1
AU - Cho, Sangbum
AU - Koda, Yuya
N1 - Publisher Copyright:
© International Press 2014.
PY - 2014
Y1 - 2014
N2 - The genus-g Goeritz group is the group of isotopy classes of orientationpreserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of S2 × S1 is finitely presented, and give its explicit presentation.
AB - The genus-g Goeritz group is the group of isotopy classes of orientationpreserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of S2 × S1 is finitely presented, and give its explicit presentation.
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U2 - 10.4310/MRL.2014.v21.n3.a3
DO - 10.4310/MRL.2014.v21.n3.a3
M3 - Article
AN - SCOPUS:84908396804
VL - 21
SP - 449
EP - 460
JO - Mathematical Research Letters
JF - Mathematical Research Letters
SN - 1073-2780
IS - 3
ER -