Results 131 to 140 of about 210 (155)
Some of the next articles are maybe not open access.
2023
Abstract Manifolds can be decomposed into simplicies (triangles in 2D or tetrahedra in 3D). TQFTs can be constructed as state sums over discrete quantum numbers on the on these discretized manifolds. Such sums appear like partition functions, statistical mechanics sums of Boltzmann weights.
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Abstract Manifolds can be decomposed into simplicies (triangles in 2D or tetrahedra in 3D). TQFTs can be constructed as state sums over discrete quantum numbers on the on these discretized manifolds. Such sums appear like partition functions, statistical mechanics sums of Boltzmann weights.
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2017
Fix throughout this chapter a spherical fusion \(\mathbb{K}\)-category \(\mathcal{C}\) and a representative set I of simple objects of \(\mathcal{C}\). Unless explicitly stated to the contrary, we assume that dim(\(\mathcal{C}\)) is invertible in \(\mathbb{K}\).We derive from this data a 3-dimensional TQFT \(|\cdot|_\mathcal{C}\).
Vladimir Turaev, Alexis Virelizier
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Fix throughout this chapter a spherical fusion \(\mathbb{K}\)-category \(\mathcal{C}\) and a representative set I of simple objects of \(\mathcal{C}\). Unless explicitly stated to the contrary, we assume that dim(\(\mathcal{C}\)) is invertible in \(\mathbb{K}\).We derive from this data a 3-dimensional TQFT \(|\cdot|_\mathcal{C}\).
Vladimir Turaev, Alexis Virelizier
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TQFTs with additional structure
2022Topological quantum field theories (TQFTs) are quantum field theories where only the global structure of spacetime plays a role. In this thesis we study TQFTs in the presence of (topological) defects, and tangential structures, such as orientations or spin structures.
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A Klein TQFT: The local Real Gromov-Witten theory of curves
Advances in Mathematics, 2021Penka Georgieva
exaly
Applying TQFT to count regular coverings of Seifert 3-manifolds
Journal of Geometry and Physics, 2012Haimiao Chen
exaly
Maslov index, lagrangians, mapping class groups and TQFT
Forum Mathematicum, 2011Patrick M Gilmer, Gregor Masbaum
exaly

