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VIDEO LIBRARY |
III International Conference "Quantum Topology"
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Turaev-Viro invariants and complexity of virtual 3-manifolds E. A. Fominykh |
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Abstract: Virtual 3-manifolds were introduced by S. Matveev in 2009 as a natural generalization of the classical 3-manifolds. In this talk we define the complexity of virtual 3-manifolds and calculate it for virtual 3-manifolds defined by special polyhedra with one, two and three 2-components. As a corollary, we establish the exact values of complexity for infinite families of hyperbolic 3-manifolds with geodesic boundary. A part of the talk is based on a joint work with V. Turaev and A. Vesnin. Language: English |