Translator Disclaimer
2018 An infinite family of links with critical bridge spheres
Daniel Rodman
Algebr. Geom. Topol. 18(1): 153-186 (2018). DOI: 10.2140/agt.2018.18.153

Abstract

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.

Citation

Download Citation

Daniel Rodman. "An infinite family of links with critical bridge spheres." Algebr. Geom. Topol. 18 (1) 153 - 186, 2018. https://doi.org/10.2140/agt.2018.18.153

Information

Received: 17 February 2016; Revised: 6 May 2017; Accepted: 10 July 2017; Published: 2018
First available in Project Euclid: 1 February 2018

zbMATH: 06828002
MathSciNet: MR3748241
Digital Object Identifier: 10.2140/agt.2018.18.153

Subjects:
Primary: 57M25

Rights: Copyright © 2018 Mathematical Sciences Publishers

JOURNAL ARTICLE
34 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.18 • No. 1 • 2018
MSP
Back to Top