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Explore the intricacies of HOMFLY polynomials for virtual knots in this 53-minute lecture by A. Morozov. Delve into the fascinating world of quantum topology as the speaker unravels the complexities of these mathematical structures. Gain insights into the application of HOMFLY polynomials in the context of virtual knots, expanding your understanding of this specialized area of topology. Learn about the latest developments and research in this field, and discover how these concepts contribute to the broader landscape of mathematical and physical theories.