arrow
Volume 30, Issue 3
Bounded 3-Manifolds with Distance $n$ Heegaard Splittings

Yanqing Zou & Ximin Liu

Commun. Math. Res., 30 (2014), pp. 193-200.

Published online: 2021-05

Export citation
  • Abstract

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.

  • AMS Subject Headings

57M27

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CMR-30-193, author = {Zou , Yanqing and Liu , Ximin}, title = {Bounded 3-Manifolds with Distance $n$ Heegaard Splittings}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {3}, pages = {193--200}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.03.01}, url = {http://global-sci.org/intro/article_detail/cmr/18970.html} }
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.

Zou , Yanqing and Liu , Ximin. (2021). Bounded 3-Manifolds with Distance $n$ Heegaard Splittings. Communications in Mathematical Research . 30 (3). 193-200. doi:10.13447/j.1674-5647.2014.03.01
Copy to clipboard
The citation has been copied to your clipboard