Twisted complex geometry

Supersymmetric WZ-Poisson sigma model and twisted generalized complex geometry

It has been shown recently that extended supersymmetry in twisted firstorder sigma models is related to twisted generalized complex geometry in the target. In the general case there are additional algebraic and differential conditions relating the twisted generalized complex structure and the geometrical data defining the model. We study in the Hamiltonian formalism the case of vanishing metric...

Complex Interpolation and Twisted Twisted Hilbert Spaces

The spin connection of twisted geometry

Twisted geometry is a piecewise-flat geometry less rigid than Regge geometry. In Loop Gravity, it provides the classical limit for each step of the truncation utilized in the definition of the quantum theory. We define the torsionless spin-connection of a twisted geometry. The difficulty given by the discontinuity of the triad is addressed by interpolating between triads. The curvature of the r...

Hyperbolic Geometry of Multiply Twisted Knots

We investigate the geometry of hyperbolic knots and links whose diagrams have a high amount of twisting of multiple strands. We find information on volume and certain isotopy classes of geodesics for the complements of these links, based only on a diagram. The results are obtained by finding geometric information on generalized augmentations

Non-Riemannian Geometry of Twisted Flux Tubes

New examples of the theory recently proposed by Ricca [PRA(1991)] on the generalization of Da RiosBetchov intrinsic equations on curvature and torsion of classical non-Riemannian vortex higher-dimensional string are given. In particular we consider applications to 3-dimesional fluid dynamics, including the case of a twisted flux tube and the fluid rotation. In this case use is made of Da Rios e...