2013/08/10 by Ahmad Zainy Al-Yasry, Al-Yasry, Ahmad Zainy
Computer Science · Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT
paper · pdf · doi:10.48550/arxiv.1308.2271
7 pages. arXiv admin note: substantial text overlap with arXiv:0911.2608
arxiv created 2013/08/10 · openalex publication_date 2013/08/10 · arxiv updated 2013/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.