scholarly journals A Super-Analogue of Kontsevich’s Theorem on Graph Homology

2006 ◽  
Vol 76 (1) ◽  
pp. 37-55 ◽  
Author(s):  
Alastair Hamilton
Keyword(s):  
Graph Homology

scholarly journals Torsion in graph homology

2006 ◽  
Vol 190 ◽  
pp. 139-177 ◽  
Author(s):  
Laure Helme-Guizon ◽  
Józef H. Przytycki ◽  
Yongwu Rong
Keyword(s):  
Graph Homology

scholarly journals KHOVANOV–ROZANSKY GRAPH HOMOLOGY AND COMPOSITION PRODUCT

2008 ◽  
Vol 17 (12) ◽  
pp. 1549-1559 ◽  
Author(s):  
E. WAGNER
Keyword(s):  
Recursive Formula ◽  
Graph Polynomial ◽  
Graph Homology ◽  
Composition Product

In analogy with a recursive formula for the HOMFLY-PT polynomial of links given by Jaeger, we give a recursive formula for the graph polynomial introduced by Kauffman and Vogel. We show how this formula extends to the Khovanov–Rozansky graph homology.

scholarly journals Quantization of gauge fields, graph polynomials and graph homology

2013 ◽  
Vol 336 ◽  
pp. 180-222 ◽  
Author(s):  
Dirk Kreimer ◽  
Matthias Sars ◽  
Walter D. van Suijlekom
Keyword(s):  
Gauge Fields ◽  
Graph Polynomials ◽  
Graph Homology

scholarly journals THE HOMOLOGY OF DIGRAPHS AS A GENERALIZATION OF HOCHSCHILD HOMOLOGY

2012 ◽  
Vol 11 (02) ◽  
pp. 1250031
Author(s):  
PAUL TURNER ◽  
EMMANUEL WAGNER
Keyword(s):  
Commutative Algebra ◽  
Directed Graphs ◽  
Homology Theory ◽  
Hochschild Homology ◽  
Graph Homology ◽  
Coefficient Ring

Przytycki has established a connection between the Hochschild homology of an algebra A and the chromatic graph homology of a polygon graph with coefficients in A. In general the chromatic graph homology is not defined in the case where the coefficient ring is a non-commutative algebra. In this paper we define a new homology theory for directed graphs which takes coefficients in an arbitrary A–A bimodule, for A possibly non-commutative, which on polygons agrees with Hochschild homology through a range of dimensions.

scholarly journals Graph Homology and Stability of Coupled Oscillator Networks

2016 ◽  
Vol 76 (3) ◽  
pp. 1126-1151 ◽  
Author(s):  
Jared C. Bronski ◽  
Lee DeVille ◽  
Timothy Ferguson
Keyword(s):  
Coupled Oscillator ◽  
Oscillator Networks ◽  
Graph Homology

scholarly journals On deformation of associative algebras and graph homology

2007 ◽  
Vol 310 (2) ◽  
pp. 730-741
Author(s):  
Fusun Akman ◽  
Lucian M. Ionescu ◽  
Papa Sissokho
Keyword(s):  
Associative Algebras ◽  
Graph Homology

scholarly journals Higher hairy graph homology

2014 ◽  
Vol 176 (1) ◽  
pp. 345-374 ◽  
Author(s):  
James Conant ◽  
Martin Kassabov ◽  
Karen Vogtmann
Keyword(s):  
Graph Homology
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