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Torsion in graph homology

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Helme-Guizon L., Przytycki J., Rong Y.

Fundamenta Mathematicae

2006

tom 190

nr 1

139-177

Khovanov homology for knots has generated a flurry of activity in the topology community. This paper studies the Khovanov type cohomology for graphs with a special attention to torsion. When the underlying algebra is ℤ[x]/(x²), we determine precisely those graphs whose cohomology contains torsion. For a large class of algebras, we show that torsion often occurs. Our investigation of torsion led to other related general results. Our computation could potentially be used to predict the Khovanov-Rozansky sl(m) homology of knots (in particular (2,n) torus knot). We also predict that our work is connected with Hochschild and Connes cyclic homology of algebras.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Helme-Guizon L.

1 Przytycki J.

1 Rong Y.

1 2006

Wyniki wyszukiwania

Torsion in graph homology