On Matveev’s Complexity of Classical and Virtual 3 Manifolds

Explore the intricacies of Matveev's complexity in relation to classical and virtual 3-manifolds in this 54-minute lecture by Evgeny Fominykh. Delve into the fundamental concepts and recent developments in the field of quantum topology, gaining insights into the mathematical structures and properties of these complex manifolds. Examine the differences between classical and virtual 3-manifolds, and understand how Matveev's complexity theory applies to each. Discover the implications of this research for broader areas of topology and its potential applications in related fields.