The amalgamation of high distance Heegaard splittings along tori
2019 ◽
Vol 28
(02)
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pp. 1950014
Keyword(s):
Let [Formula: see text] be a compact, connected, orientable closed 3-manifold. Let [Formula: see text] be a disjoint union of incompressible separating tori in [Formula: see text] which cut [Formula: see text] into the submanifolds [Formula: see text]. In the present paper, we show that the Heegaard genus [Formula: see text] of [Formula: see text] is given by [Formula: see text] provided that each [Formula: see text] has a Heegaard splitting [Formula: see text] with Hempel distance [Formula: see text].
Keyword(s):
Keyword(s):
2018 ◽
Vol 27
(09)
◽
pp. 1842003
Keyword(s):
1993 ◽
Vol 113
(1)
◽
pp. 87-90
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Keyword(s):
2012 ◽
Vol 21
(08)
◽
pp. 1250078
Keyword(s):
2020 ◽
Vol 29
(10)
◽
pp. 2042005
Keyword(s):
2019 ◽
Vol 28
(09)
◽
pp. 1950059
2018 ◽
Vol 10
(04)
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pp. 897-913
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Keyword(s):
2013 ◽
Vol 22
(05)
◽
pp. 1350018
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