On the connectedness of subcomplexes of a disk complex
2014 ◽
Vol 23
(11)
◽
pp. 1450063
For a boundary-reducible 3-manifold M with ∂M a genus-g surface, we show that if M admits a genus-(g + 1) Heegaard surface S, then the disk complex of S is simply connected. Also we consider the connectedness of the complex of reducing spheres. We investigate the intersection of two reducing spheres for a genus-3 Heegaard splitting of ( torus ) × I.
2013 ◽
Vol 22
(05)
◽
pp. 1350018
◽
2013 ◽
Vol 2013
(679)
◽
pp. 155-179
◽
Keyword(s):
1985 ◽
Vol 38
(1)
◽
pp. 55-64
◽
Keyword(s):
Keyword(s):
2020 ◽
Vol 1709
◽
pp. 012024