We study the orientation preserving involutions of the orientable 3-dimensional handlebody $H_g$, for any genus $g$. A complete classification of such involutions is given in terms of their fixed points.
Keywords:
study orientation preserving involutions orientable dimensional handlebody genus complete classification involutions given terms their fixed points
Affiliations des auteurs :
Andrea Pantaleoni 
1
;
Riccardo Piergallini 
1
1
Scuola di Scienze e Tecnologie Università di Camerino 62032 Camerino, Italy
@article{10_4064_fm215_2_1,
author = {Andrea Pantaleoni and Riccardo Piergallini},
title = {Involutions of 3-dimensional handlebodies},
journal = {Fundamenta Mathematicae},
pages = {101--107},
year = {2011},
volume = {215},
number = {2},
doi = {10.4064/fm215-2-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm215-2-1/}
}
TY - JOUR
AU - Andrea Pantaleoni
AU - Riccardo Piergallini
TI - Involutions of 3-dimensional handlebodies
JO - Fundamenta Mathematicae
PY - 2011
SP - 101
EP - 107
VL - 215
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/fm215-2-1/
DO - 10.4064/fm215-2-1
LA - en
ID - 10_4064_fm215_2_1
ER -
Andrea Pantaleoni; Riccardo Piergallini. Involutions of 3-dimensional handlebodies. Fundamenta Mathematicae, Tome 215 (2011) no. 2, pp. 101-107. doi: 10.4064/fm215-2-1