Differential geometry over the structure sheaf: a way to quantum physics
- Proceedings of the 17th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [45]-51
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topFischer, Gerald. "Differential geometry over the structure sheaf: a way to quantum physics." Proceedings of the 17th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1998. [45]-51. <http://eudml.org/doc/221392>.
@inProceedings{Fischer1998,
abstract = {An idea for quantization by means of geometric observables is explained, which is a kind of the sheaf theoretical methods. First the formulation of differential geometry by using the structure sheaf is explained. The point of view to get interesting noncommutative observable algebras of geometric fields is introduced. The idea is to deform the algebra $C^\infty (M, \mathbb \{R\})$ by suitable interaction structures. As an example of such structures the Poisson-structure is mentioned and this leads naturally to deformation quantization.},
author = {Fischer, Gerald},
booktitle = {Proceedings of the 17th Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {[45]-51},
publisher = {Circolo Matematico di Palermo},
title = {Differential geometry over the structure sheaf: a way to quantum physics},
url = {http://eudml.org/doc/221392},
year = {1998},
}
TY - CLSWK
AU - Fischer, Gerald
TI - Differential geometry over the structure sheaf: a way to quantum physics
T2 - Proceedings of the 17th Winter School "Geometry and Physics"
PY - 1998
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [45]
EP - 51
AB - An idea for quantization by means of geometric observables is explained, which is a kind of the sheaf theoretical methods. First the formulation of differential geometry by using the structure sheaf is explained. The point of view to get interesting noncommutative observable algebras of geometric fields is introduced. The idea is to deform the algebra $C^\infty (M, \mathbb {R})$ by suitable interaction structures. As an example of such structures the Poisson-structure is mentioned and this leads naturally to deformation quantization.
KW - Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/221392
ER -
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