Khovanov homology

General Introduction
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Online References
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
Kriz et al on Khovanov homology and relations with stable homotopy theory: http://front.math.ucdavis.edu/1203.4773
arXiv:1206.1995 Zredukowane homologie Khovanova from arXiv Front: math.AT by Wojciech Lubawski From the very beginning the Khovanov homology appears to be one of the most important invariant of knots; for computational and theoretical reasons it would be useful to operate with reduced version of it  nevertheless the definition given by Khovanov appears to be not natural in a sense that it requires choices of circles in every resolution of knot diagram. We propose a definition that generalizes the reduced odd Khovanov homology defined by Rasmussen, Ozsvath and Szabo to the case of Putyra's chronological homology and therefore gives a simple and natural way to reduce the standard Khovanov homology. Surprisingly the construction works as well for virtual knots and links.
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