31 research outputs found
M-theory and Characteristic Classes
In this note we show that the Chern-Simons and the one-loop terms in the
M-theory action can be written in terms of new characters involving the
M-theory four-form and the string classes. This sheds a new light on the
topological structure behind M-theory and suggests the construction of a theory
of `higher' characteristic classes.Comment: 8 pages. Error in gravitational term fixed; minor corrections;
reference and acknowledgement adde
Topological Andr\'e-Quillen homology for cellular commutative -algebras
Topological Andr\'e-Quillen homology for commutative -algebras was
introduced by Basterra following work of Kriz, and has been intensively studied
by several authors. In this paper we discuss it as a homology theory on CW
-algebras and apply it to obtain results on minimal atomic -local
-algebras which generalise those of Baker and May for -local spectra and
simply connected spaces. We exhibit some new examples of minimal atomic
-algebras.Comment: Final revision, a version will appear in Abhandlungen aus dem
Mathematischen Seminar der Universitaet Hambur
Quantum Cosmological Multidimensional Einstein-Yang-Mills Model in a Topology
The quantum cosmological version of the multidimensional Einstein-Yang-Mills
model in a topology is studied in the framework of
the Hartle-Hawking proposal. In contrast to previous work in the literature, we
consider Yang-Mills field configurations with non-vanishing time-dependent
components in both and spaces. We obtain stable compactifying
solutions that do correspond to extrema of the Hartle-Hawking wave function of
the Universe. Subsequently, we also show that the regions where 4-dimensional
metric behaves classically or quantum mechanically (i.e. regions where the
metric is Lorentzian or Euclidean) will depend on the number, , of compact
space dimensions.Comment: Plain Latex. Version that appeared in the October 15th, 1997 issue of
Physical Review