Seminar talk, 18 September 2019: Difference between revisions
Created page with "{{Talk | speaker = Hovhannes Khudaverdian | title = Thick morphisms and Quantum Mechanics | abstract = For an arbitrary morphism of (super)manifolds, the pull-back is a linear..." |
No edit summary |
||
| Line 12: | Line 12: | ||
In particular in this case the geometrical object <math>S</math> which defines thick diffeomorphism becomes an action of classical mechanics, and pull-back of thick diffeomorphism with quadratic action give spinor representation. | In particular in this case the geometrical object <math>S</math> which defines thick diffeomorphism becomes an action of classical mechanics, and pull-back of thick diffeomorphism with quadratic action give spinor representation. | ||
The talk is based on | The talk is based on a joint work with Theodore Voronov. | ||
| video = | | video = | ||
| slides = | | slides = | ||
Latest revision as of 20:05, 10 September 2019
Speaker: Hovhannes Khudaverdian
Title: Thick morphisms and Quantum Mechanics
Abstract:
For an arbitrary morphism of (super)manifolds, the pull-back is a linear map of space of functions.
In 2014 Theodore Voronov has introduced thick morphisms of (super)manifolds which define generally non-linear pull-back of functions. This construction was introduced as an adequate tool to describe morphisms of algebras of functions provided with the structure of homotopy Poisson algebra.
Voronov introduced the special geometrical object , which defines the thick morphism.
It turns out that if you go down from "heaven to earth", and consider usual (not super!) manifolds, then we come to constructions which has natural interpretation in classical and Quantum mechanics.
In particular in this case the geometrical object which defines thick diffeomorphism becomes an action of classical mechanics, and pull-back of thick diffeomorphism with quadratic action give spinor representation.
The talk is based on a joint work with Theodore Voronov.
References:
arXiv:1909.00290