I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2005, VOLUME 11, NUMBER 4, PAGES 127-152
V. O. Manturov
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One of the most outstanding achievements of the modern knot theory is
Khovanov's categorification of Jones polynomials.
In the present paper, we construct the homology theory for virtual
An important obstruction to this theory (unlike the case of classical
knots) is the nonorientability of "atoms"; an atom is
a two-dimensional combinatorial object closely related with
virtual link diagrams.
The problem is solved directly for the field
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Last modified: November 25, 2005