A topologically minimal canonical Heegaard splitting of a surface bundle is critical
2018 ◽
Vol 27
(05)
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pp. 1850034
Keyword(s):
Every surface bundle with genus [Formula: see text] fiber has a canonical Heegaard splitting of genus [Formula: see text]. In this paper, we discuss the topological indices of such Heegaard surfaces and prove the canonical Heegaard splitting of a surface bundle is topologically minimal if and only if it is critical, that is, its topological index is 2.
2020 ◽
Vol 13
(5)
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pp. 1149-1161
2021 ◽
Vol 12
(6)
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pp. 7249-7266
2019 ◽
Vol 11
(01)
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pp. 1950006
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2017 ◽
Vol 72
(8)
◽
pp. 711-716
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2017 ◽
Vol 09
(05)
◽
pp. 1750064
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Keyword(s):
2017 ◽
Vol 23
(1)
◽
pp. 277-289
Keyword(s):