Tangent circle bundles admit positive open book decompositions along arbitrary links |
| |
Authors: | Masaharu Ishikawa |
| |
Institution: | Department of Mathematics, Tokyo Metropolitan University, 1-1, Minami-Ohsawa, Hachioji-shi, Tokyo 192-0397, Japan |
| |
Abstract: | In the present paper we generalize the divide lying in the unit disk, introduced by A'Campo, to compact, oriented, smooth surfaces, and prove a fibration theorem for generalized divides. As a consequence, we will show that, for any link L in the tangent circle bundle Y to the compact surface, there exists an additional knot K such that the link L∪K is the binding of a “positive” open book decomposition of Y. |
| |
Keywords: | primary 57M50 secondary 55R25 32S30 57R17 |
本文献已被 ScienceDirect 等数据库收录! |
|