A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus

作者：Li, Tao^*; Qiu, Ruifeng; Wang, Shicheng

来源：Geometriae Dedicata, 2010, 147(1): 131-138.

DOI：10.1007/s10711-009-9443-5

• Boundary slope
• Essential surface

Let M be an orientable 3-manifold with a,M a single torus. We show that the number of boundary slopes of immersed essential surfaces with genus at most g is bounded by a quadratic function of g. In the hyperbolic case, this was proved earlier by Hass et al.

• 出版日期2010-8
• 单位华东师范大学; 北京大学