7 papers
A Note on the Symmetries and Renormalisability of (Quantum) Gravity
I. P. Zois
We make some remarks on the group of symmetries in gravity; we believe that K-theory and noncommutative geometry inescepably have to play an important role. Furthermore we make som…
Noncommutativity vs gauge symmetry
I. P. Zois
In many aspects the most complicated noncommutative spaces correspond to foliated manifolds with nonvanishing Godbillon-Vey class. We argue that gauge invariance probably prevents…
Black Hole Entropy, Topological Entropy and Noncommutative Geometry
Ioannis P. Zois
Foliated manifolds are particular examples of noncommutative spaces. In this article we try to give a qualitative description of the Godbillon-Vey class and its relation on the one…
Multiple "parallel" D-branes seen as leaves of foliations and Duminy's theorem
Ioannis P. Zois
We try to give a qualitative description of the Godbillon-Vey class and its relation on the one hand to the holonomy and on the other hand to the topological entropy of a foliation…
The Godbillon-Vey class, invariants of manifolds and linearised M-Theory
Ioannis P. Zois
We apply the Godbillon-Vey class to compute the transition amplitudes between some non-commutative solitons in M-Theory; our context is that of Connes-Douglas-Schwarz where they co…
Gelfand-Fuchs cohomology and M-Theory as a Topological Quantum Field Theory
Ioannis P. Zois
We introduce a Lagrangian density for M-Theory which is purely topological using Gelfand-Fuchs cohomology. Next we calculate the partition function which indeed gives topological i…