Braided Commutative Geometry and Drinfel'd Twist Deformations

15 Feb 2020 Weber Thomas

In this thesis we give obstructions for Drinfel'd twist deformation quantization on several classes of symplectic manifolds. Motivated from this quantization procedure, we further construct a noncommutative Cartan calculus on any braided commutative algebra, as well as an equivariant Levi-Civita covariant derivative for any non-degenerate equivariant metric... (read more)

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  • QUANTUM ALGEBRA
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS