An infinite family of links with critical bridge spheres

作者：Rodman Daniel^*

来源：Algebraic and Geometric Topology, 2018, 18(1): 153-186.

DOI：10.2140/agt.2018.18.153

A closed orientable splitting surface in an oriented 3-manifold is a topologically minimal surface of index n if its associated disk complex is (n-2)-connected but not (n-1)-connected. A critical surface is a topologically minimal surface of index 2. In this paper, we use an equivalent combinatorial definition of critical surfaces to construct the first known critical bridge spheres for nontrivial links.

• 出版日期2018