A Reduced Set of Moves on One-Vertex Ribbon Graphs Coming from Links

Authors

Heather M. Russell, University of RichmondFollow
Susan Abernathy
Cody Armond
Moshe Cohen
Oliver T. Dasbach
Hannah Manuel
Chris Penn
Neal W. Stoltzfus

DOI

10.1090/S0002-9939-2013-11807-1

Abstract

Every link in R³ can be represented by a one-vertex ribbon graph. We prove a Markov type theorem on this subset of link diagrams.

Document Type

Post-print Article

Publication Date

2014

Publisher Statement

Copyright © 2014 American Mathematical Society

The definitive version is available at: http://www.ams.org/journals/proc/2014-142-03/S0002-9939-2013-11807-1/

DOI: 10.1090/S0002-9939-2013-11807-1

Full Citation:

Abernathy, Susan, Cody Armond, Moshe Cohen, Oliver T. Dasbach, Hannah Manuel, Chris Penn, Heather M. Russell, and Neal W. Stoltzfus. "A Reduced Set of Moves on One-Vertex Ribbon Graphs Coming from Links." Proceedings of the American Mathematical Society 142, no. 3 (2013): 737-752. doi:10.1090/s0002-9939-2013-11807-1.

Recommended Citation

Russell, Heather M.; Abernathy, Susan; Armond, Cody; Cohen, Moshe; Dasbach, Oliver T.; Manuel, Hannah; Penn, Chris; and Stoltzfus, Neal W., "A Reduced Set of Moves on One-Vertex Ribbon Graphs Coming from Links" (2014). Department of Math & Statistics Faculty Publications. 109.
https://scholarship.richmond.edu/mathcs-faculty-publications/109