An application of the Godbillon-Vey class in M-Theory
Year: 2000
Type: preprint
Abstract: 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 considered compactifications of matrix models on noncommutative tori. Moreover we try to clarify the topological Lagrangian density suggested for M-Theory in a previous article using the fact that the functor of immersions is a linearisation of the functor of embeddings. PACS classification: 11.10.-z; 11.15.-q; 11.30.-Ly Keywords: Godbillon-Vey class, M-Theory, K-Theory, solitons0.1 Some remarks on K-Theories... Let M be a closed smooth n-manifold. A codimension q foliation where 0 < q < n, is a particular example of a Haefliger or Γq-structure on M. A codim-q foliation is defined by specifying a codim-q integrable subbundle F of the tangent bundle TM of M. A local definition is provided by specifying a nowhere vanishing decomposable q-form Ω on M. The integrability condition is expressed by the relation
Source: arXiv (Cornell University)
Author: Ioannis P. Zois
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2809069882