2 papers
math.GT2019
Heegaard genus and complexity of fibered knots
Mustafa Cengiz
We prove that if a fibered knot with genus greater than one in a three-manifold has a sufficiently complicated monodromy, then induces a minimal genus Heegaard splittin…
math.GT2017
Non-prime 3-Manifolds with Open Book Genus Two
Mustafa Cengiz
An open book decomposition of a 3-manifold induces a Heegaard splitting for , and the minimal genus among all Heegaard splittings induced by open book decompositions is call…