Entropic magmas, their homology and related invariants of links and graphs

Niebrzydowski, Maciej; Przytycki, Józef H

doi:10.2140/agt.2013.13.3223

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Entropic magmas, their homology and related invariants of links and graphs

Maciej Niebrzydowski and Józef H Przytycki

Algebraic & Geometric Topology 13 (2013) 3223–3243

DOI: 10.2140/agt.2013.13.3223

Abstract

We define link and graph invariants from entropic magmas, modeling them on the Kauffman bracket and Tutte polynomial. We define the homology of entropic magmas. We also consider groups that can be assigned to the families of compatible entropic magmas.

Keywords

entropic magma, homology, mediality, link invariant

Mathematical Subject Classification 2010

Primary: 55N35

Secondary: 18G60, 57M25

References

Publication

Received: 19 September 2012

Accepted: 25 March 2013

Published: 23 September 2013

Authors

Maciej Niebrzydowski
Department of Mathematics University of Louisiana at Lafayette 217 Maxim D Doucet Hall 1403 Johnston Street Lafayette, LA 70504-1010 USA

Józef H Przytycki
Department of Mathematics The George Washington University Monroe Hall, Room 240 2115 G Street NW Washington, DC 20052 USA
http://home.gwu.edu/~przytyck/

Volume 13, issue 6 (2013)