Definition of Khovanov. Meaning of Khovanov. Synonyms of Khovanov

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Definition of Khovanov

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Meaning of Khovanov from wikipedia

- In mathematics, Khovanov homology is an oriented link invariant that arises as the cohomology of a cochain complex. It may be regarded as a categorification...
- Mikhail Khovanov (Russian: Михаил Гелиевич Хованов; born 1972) is a Russian-American professor of mathematics at Columbia University who works on representation...
- Mikhail Khovanov constructed a certain chain complex for knots and links and showed that the homology induced from it is a knot invariant (see Khovanov homology)...
- invariants which distinguish the unknot from all other knots, such as Khovanov homology and knot Floer homology. Other invariants can be defined by considering...
- abelian groups by categorifying the notion of a Betti number. See also Khovanov homology as a knot invariant in knot theory. An example in finite group...
- understand a concept in mathematics called Khovanov homology. Developed by Mikhail Khovanov around 2000, Khovanov homology provides a tool in knot theory...
- main research interests include knot theory, finite type invariants, and Khovanov homology. Bar-Natan earned his B.Sc. in mathematics at Tel Aviv University...
- understand a concept in mathematics called Khovanov homology. Developed by Mikhail Khovanov around 2000, Khovanov homology provides a tool in knot theory...
- known to be in both NP and co-NP. It is known that knot Floer homology and Khovanov homology detect the unknot, but these are not known to be efficiently com****ble...
- develop the idea with his student Mikhail Khovanov, and their collaboration ultimately led to the discovery of Khovanov homology, a refinement of the Jones...