20 citations · 107 across the 18 of their papers we have counts for
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math.GT2017★ 15 cited
Simplified broken Lefschetz fibrations and trisections of 4-manifolds
R. Inanc Baykur, Osamu Saeki
Shapes of four dimensional spaces can be studied effectively via maps to standard surfaces. We explain, and illustrate by quintessential examples, how to simplify such generic maps…
math.GT2017
Elimination of definite fold II
Osamu Saeki
In this paper, we first give a new simple proof to the elimination theorem of definite fold by homotopy for generic smooth maps of manifolds of dimension strictly greater than …
math.GT2017★ 16 cited
Simplifying indefinite fibrations on 4-manifolds
R. Inanc Baykur, Osamu Saeki
We present explicit algorithms for simplifying the topology of indefinite fibrations on 4-manifolds, which include broken Lefschetz fibrations and indefinite Morse 2-functions. The…