TY - JOUR T1 - Bounded 3-Manifolds with Distance $n$ Heegaard Splittings AU - Zou , Yanqing AU - Liu , Ximin JO - Communications in Mathematical Research VL - 3 SP - 193 EP - 200 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/10.13447/j.1674-5647.2014.03.01 UR - https://global-sci.org/intro/article_detail/cmr/18970.html KW - attaching compression body, Heegaard distance, subsurface projection. AB -
We prove that for any integer $n ≥ 2$ and $g ≥ 2$, there are bounded 3-manifolds admitting distance $n$, genus $g$ Heegaard splittings with any given boundaries.