Finite presentations of the mapping class groups of once-stabilized Heegaard splittings
Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 3621-3639
Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
Let g ≥ 2 and assume that we are given a genus g Heegaard splitting of a closed orientable 3–manifold with distance greater than 2g + 2. We prove that the mapping class group of the once-stabilization of such a Heegaard splitting is finitely presented.
Keywords:
3–manifold, mapping class group, Heegaard splitting, space
of Heegaard splitting
Affiliations des auteurs :
Iguchi, Daiki 1
@article{10_2140_agt_2024_24_3621,
author = {Iguchi, Daiki},
title = {Finite presentations of the mapping class groups of once-stabilized {Heegaard} splittings},
journal = {Algebraic and Geometric Topology},
pages = {3621--3639},
publisher = {mathdoc},
volume = {24},
number = {7},
year = {2024},
doi = {10.2140/agt.2024.24.3621},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.3621/}
}
TY - JOUR AU - Iguchi, Daiki TI - Finite presentations of the mapping class groups of once-stabilized Heegaard splittings JO - Algebraic and Geometric Topology PY - 2024 SP - 3621 EP - 3639 VL - 24 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.3621/ DO - 10.2140/agt.2024.24.3621 ID - 10_2140_agt_2024_24_3621 ER -
%0 Journal Article %A Iguchi, Daiki %T Finite presentations of the mapping class groups of once-stabilized Heegaard splittings %J Algebraic and Geometric Topology %D 2024 %P 3621-3639 %V 24 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.3621/ %R 10.2140/agt.2024.24.3621 %F 10_2140_agt_2024_24_3621
Iguchi, Daiki. Finite presentations of the mapping class groups of once-stabilized Heegaard splittings. Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 3621-3639. doi: 10.2140/agt.2024.24.3621
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