Ahmad Zainy Al-Yasry
Khovanov-Kauffman homology for embedded graphs
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.
 : 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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