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HIGGS BUNDLES AND GEOMETRIC STRUCTURES ON SURFACES     SURFACES  GEOMETRIC STRUCTURES       font style='font-size:12px;'> 2015/9/29
In the late 1980’s Hitchin [51] and Simpson [71] discovered deep connections between representations of fundamental groups of surfaces and algebraic geometry.
Using Fedosov theory of deformation quantization of endomorphism bundle we construct several models of pure geometric, deformed vacuum gravity. Deformations of Einstein-Hilbert and Palatini actions ar...
A cornerstone of the loop quantum gravity program is the fact that the phase space of general relativity on a fixed graph can be described by a product of SU(2) cotangent bundles per edge. In this pap...
We consider a geometrical system of equations for a three dimensional Riemannian manifold. This system of equations has been constructed as to include several physically interesting systems of equatio...

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