Integrated differential geometry. Commutative and noncommutative
| dc.creator | Grundling, Hendrik | |
| dc.date | 1994-11-11 | |
| dc.date.accessioned | 2026-07-07T04:20:45Z | |
| dc.date.available | 2026-07-07T04:20:45Z | |
| dc.description | For a manifold M we define a structure on the group action of Diff(M) on the smooth functions on M which reduces to the usual differential geometry upon differentiation at zero along the one-parameter groups of Diff(M). This ``integrated differential geometry'' generalises to all group actions on associative algebras, including noncommutative ones, and defines an ``integrated de Rham cohomology,'' which provides a new set of invariants for group actions. We calculate the first few integrated de Rham cohomologies for two examples;- a discrete group action on a commutative algebra, and a continuous Lie group action on a noncommutative matrix algebra. | |
| dc.description | Plain tex, 35 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9411079 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9411079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54059 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Integrated differential geometry. Commutative and noncommutative | |
| dc.type | text |