|
|||||
|
|
Incompressible surfaces in handlebodies and closed 3-manifolds of Heegaard genus 2 |
|
| Authors: | Ruifeng Qiu |
| Affiliation: | Department of Mathematics, Jilin University, Changchun 130023, People's Republic of China |
| Abstract: | In this paper, we shall prove that for any integer |
| Keywords: | Heegaard genus incompressible surface |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |
, 1) a handlebody of genus 2 contains a separating incompressible surface of genus 
, 2) there exists a closed 3-manifold of Heegaard genus 
which contains a separating incompressible surface of genus 
. 