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We present a formula for the full Cheeger-Chern-Simons class of the tautological flat complex vector bundle of rank 2 over BSL(2, C δ ). Our formula improves the formula in [DZ], where the c...
In the famous papers [1] and [2], J Cheeger, S Chern and J Simons define characteristic classes for flat G–bundles. Each such characteristic class is given by a corresponding universal c...
The role of Chern Simons theory in solving the fractional quantum Hall effect mystery.
This is the second of a series of papers in which we develop a "discretization approach" for the rigorous realization of the non-Abelian Chern-Simons path integral for manifolds M of the form M=Sigma ...
In a previous paper we defined a noncommutative replacement of the Chern-Simons action. In the present paper we investigate and compute the action for a particular example: the quantum group SU_q(2). ...
We study the Chern-Simons action, which was defined for noncommutative spaces in general by the author, for the noncommutative 3-torus, the universal C*-algebra generated by 3 unitaries. D. Essouabri,...
Witten constructed a topological quantum field theory with the Chern-Simons action as Lagrangian. We define a proper noncommutative generalization of the Chern-Simons action. "Proper", in this context...
Abstract: The Hamiltonian analysis for the Chern-Simons theory and Pontryagin invariant, which depends of a connection valued in the Lie algebra of SO(3,1), is performed. By applying a pure Dirac's me...
We propose a model of inflation where the Chern-Simons interaction and vector fields play a central role in generating an inflationary epoch. As a result, in accord with the APS mechanism, the Sakharo...
Abstract: Recent studies of the $AdS_4/CFT_3$ correspondence involve the construction of a peculiar supersymmetric gauge theory on the worldvolume of multiple M2s branes as a boundary field theory. Un...
We study various aspects of the matrix models calculating free energies and Wilson loop observables in supersymmetric Chern-Simons-matter theories on the three-sphere. We first develop techniques to e...
We construct finite mass, asymptotically flat black hole solutions in d=5 Einstein--Yang-Mills--Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reiss...
We construct finite mass, asymptotically flat black hole solutions in d = 5 Einstein–Yang-Mills–Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reiss...
We give a direct interpretation of Neumann's combinatorial formula for the Chern-Simons invariant of a 3-manifold with a representation in PSL(2,C) whose restriction to the boundary takes values in u...
In 1974, S.-S. Chern and J. Simons published a paper where they defined a new type of characteristic class - one that depends not just on the topology of a manifold but also on the geometry. The goal...

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