A reduced set of moves on one-vertex ribbon graphs coming from links

Authors

Susan Abernathy, Louisiana State University
Cody Armond, Louisiana State University
Moshe Cohen, Bar-Ilan University
Oliver T. Dasbach, Louisiana State University
Hannah Manuel, Louisiana State University
Chris Penn, Louisiana State University
Heather M. Russell, University of Southern California
Neal W. Stoltzfus, Louisiana State University

Document Type

Article

Publication Date

1-15-2014

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. © 2013 American Mathematical Society.

Publication Source (Journal or Book title)

Proceedings of the American Mathematical Society

First Page

737

Last Page

752

Recommended Citation

Abernathy, S., Armond, C., Cohen, M., Dasbach, O., Manuel, H., Penn, C., Russell, H., & Stoltzfus, N. (2014). A reduced set of moves on one-vertex ribbon graphs coming from links. Proceedings of the American Mathematical Society, 142 (3), 737-752. https://doi.org/10.1090/S0002-9939-2013-11807-1