Riv. Mat. Univ. Parma, Vol. 5, No. 2, 2014

Ahmad Zainy Al-Yasry[1]

Khovanov-Kauffman homology for embedded graphs

Pages: 435-442
Received: 29 December 2013  
Accepted in revised form: 31 March 2014
Mathematics Subject Classification (2010): 55A25.

Keywords: Khovanov homology, embedded graphs, Kauffman replacements, graph homology.
Author address:
[1] : University of Baghdad, College of Science for Women, Department of Mathematics, Baghdad, IRAQ

Abstract: A discussion given to the question of extending Khovanov homology from links to embedded graphs, by using the Kauffman topological invariant of embedded graphs by associating family of links and knots to a such graph by using some local replacements at each vertex in the graph. This new concept of Khovanov-Kauffman homology of an embedded graph constructed to be the sum of the Khovanov homologies of all the links and knots associated to this graph.


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