Studying surfaces via closed braids
几何拓扑
2007-05-23 v1
摘要
This is a review article on the Bennequin-Birman-Menasco machinery for studying embedded incompressible surfaces in 3-space via their `braid foliations'. Two cases are investigated: case (1) The surface has non-empty boundary; the boundary is a knot or link which is represented as a closed braid, Case (2) The surface is closed, but it lies in the complement of a knot or link which is represented as a closed braid. The main results in the area are established with full proofs, in a systematic fashion, with an eye toward making them accessible to the beginning reader. There are some new contributions, described in detail in the introduction.
引用
@article{arxiv.math/9804028,
title = {Studying surfaces via closed braids},
author = {Joan S. Birman and Elizabeth Finkelstein},
journal= {arXiv preprint arXiv:math/9804028},
year = {2007}
}
备注
61 pages