The Godbillon-Vey class, invariants of manifolds and linearised M-Theory
| dc.creator | Zois, Ioannis P. | |
| dc.date | 2000-06-21 | |
| dc.date | 2000-07-31 | |
| dc.date.accessioned | 2026-07-07T04:10:03Z | |
| dc.date.available | 2026-07-07T04:10:03Z | |
| dc.description | 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. Two important consequences follow: we describe a new normalisation for the Abelian Chern-Simons theory using symplectic 4-manifolds as providing cobordisms for tight contact 3-manifolds and we construct a new(?) invariant for 3-manifolds. Moreover we modify the topological Lagrangian density suggested for M-Theory in a previous article to a \textsl{quadratic} one using the fact that the \emph{functor of immersions is a linearisation (or ``the differential'') of the functor of embeddings} | |
| dc.description | 50 pages, TeX, extended version | |
| dc.identifier | https://arxiv.org/abs/hep-th/0006169 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0006169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50089 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Godbillon-Vey class, invariants of manifolds and linearised M-Theory | |
| dc.type | text |