3 edition of **Graded bundles and supermanifolds** found in the catalog.

Graded bundles and supermanifolds

Yvonne Choquet-Bruhat

- 178 Want to read
- 2 Currently reading

Published
**1989**
by Bibliopolis in Napoli
.

Written in English

- Supermanifolds (Mathematics),
- Fiber bundles (Mathematics),
- Geometry, Differential.,
- Mathematical physics.

**Edition Notes**

Statement | Yvonne Choquet-Bruhat. |

Series | Monographs and textbooks in physical science ;, 12 |

Classifications | |
---|---|

LC Classifications | QC20.7.M24 C47 1989 |

The Physical Object | |

Pagination | 94 p. ; |

Number of Pages | 94 |

ID Numbers | |

Open Library | OL1966535M |

ISBN 10 | 8870882233 |

LC Control Number | 90200925 |

supermanifolds Download supermanifolds or read online here in PDF or EPUB. Please click button to get supermanifolds book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library, you could find million book here by . Supermanifolds and Supergroups: Basic Theory Gijs M. Tuynman. Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. Whether you've loved the book or not, if.

The first part of the book contains a full introduction to the theory of supermanifolds, comparing and contrasting the different approaches that exist. Topics covered include tensors on supermanifolds, super fibre bundles, super Lie groups and integration theory. Examples of sheaves in a sentence, how to use it. examples: He will bring in his sheaves while the sun is still shining. - Whole sheaves of.

Here are the talks: Dmitry Roytenberg, Differential graded manifolds, infinity-stacks and generalized geometries. (3 hours.) Abstract: Differential graded manifolds are supermanifolds equipped with an additional grading and differential in the structure sheaf. They can be thought of as a simultaneous generalization of Lie algeboids and L-infinity algebras. This knowledge accumulates to the theory of supermanifolds and super Lie groups, with the definition of a supermanifold being due to Berezin & Leĭtes. Much of the fundamental work was carried out between and by Berezin and his collaborators. At its ‘bare bones’ supermathematics is the study of Z 2-graded structures. The study of Cited by: 5.

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Additional Physical Format: Online version: Choquet-Bruhat, Yvonne. Graded bundles and supermanifolds. Napoli: Bibliopolis, © (OCoLC) Supergeometry is differential geometry of modules over graded commutative algebras, supermanifolds and graded eometry is part and parcel of many classical and quantum field theories involving odd fields, e.g., SUSY field theory, BRST theory, or supergravity.

Supergeometry is formulated in terms of -graded modules and sheaves over -graded commutative algebras (supercommutative. In fact, Π is a functor from the category of vector bundles to the category of supermanifolds. Lie supergroups are examples of supermanifolds.

Batchelor's theorem. Batchelor's theorem states that every supermanifold is noncanonically isomorphic to a supermanifold of the form ΠE. The word "noncanonically" prevents one from concluding that. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Graded Bundles and Supermanifolds Paperback Next page > by Yvonne Choquet-Bruhat, Cecile DeWitt-Morette Goodreads Book reviews & recommendations: IMDb Movies, TV & Celebrities: IMDbPro Get Info Entertainment Professionals Need.

Graded Bundles Graded bundles are a particular ‘species’ of non-negatively graded Graded bundles and supermanifolds book manifold that is very well behaved [1,2]. A graded bundle \(F\) is a fibre bundle for which one can assign a weight of zero to the base coordinates and a non-zero integer weight to the fibre coordinates.

Admissible changes of local coordinates respect this assignment of weight. Graded bundles and homogeneity structures. The bundle T k M is the fundamental example of a graded bundle [15], a generalization of the notion of a vector bundle.

A graded bundle has an atlas in. Kostant, B. Graded manifolds, graded Lie theory and prequantization. Differential Geometric Methods in Mathematical Physics, Lecture Notes in Mathematics,Cited by: To develop such Z n 2 -graded classical mechanics the mathematical theory of Z n 2 -graded supermanifolds developed in [27] [28] [29][30] will be helpful.

Another way to understand meanings of Z. Yvonne Choquet-Bruhat Graded bundles and supermanifolds Bibliopolis 94 PP. FONDO DI MAGAZZINO: LIEVI SEGNI DEL TEMPO, VOLUME INTONSO, MAI SFOGLIATO. A very large number of papers on superspaces and supermanifolds has already appeared in.

This book is a self contained introduction to super differential geometry, intended for graduate students in mathematics and theoretical physics and other people who File Size: 1MB. This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds.

It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the.

We define graded manifolds as a version of supermanifolds endowed with an extra Z-grading in the structure sheaf, called weight (not linked with parity). Examples are ordinary supermanifolds, vector bundles, double vector bundles (in particular, iterated constructions like TTM), etc.

I give a construction of doubles for graded QS- and graded QP-manifolds (graded manifolds endowed Cited by: Functional analytic questions and products of higher graded supermanifolds.

Previous Post Mixed symmetry tensors and their graded description Next Post Connections adapted to graded bundles.

Leave a Reply Cancel reply. In particular I have been interested in supermanifolds, graded manifolds, Lie algebroids and various generalisations of. Graded bundles 4 Pseudo-Euclidean vector bundles 5 Almost Lie algebroids 6 3.

Symplectic almost Lie 2-algebroids and pre-Courant algebroids 6 stood as supermanifolds equipped with an even/odd Poisson bracket and an odd/even homological potential Date: March 6, simply point to Mackenzie’s book [35].

*immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Koszul, J.-L. Graded manifolds and graded Lie algebras. In Proceedings of the International Meeting on Geometry and Physics, Pitagora, Bologna, 12–15 October ; pp.

71– [Google Scholar] Vishnyakova, E.G. On Complex Lie Supergroups and Homogeneous Split Supermanifolds. Transform. Groups16, – [Google Scholar]. Supermanifolds, supermanifold cohomology and super vector bundles, in: [email protected] Geometric Methods in Theoretical Physics.

eds. Bleuer and M. Werner, Nato ASI Ser. C (Kluwer Academic Publishers, Dordrecht, ). [I I] J. Dell and L. Smolin, Graded manifold theory as the geometry of supersymmetry, Comm. Math. Phys. 66 () Cited by: 4. Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups.

It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector. The book aids the reader to get some insight into continua.

€ Acquista. Quick View. Graded Bundles and Supermanifolds. Autore: Choquet Bruhat Yvonne. A very large number of papers on superspaces and supermanifolds continua.

€ Acquista. Quick View. Graded bundles are a particularly nice class of graded manifolds and represent a natural generali-sation of vector bundles. By exploiting the formalism of supermanifolds to describe Lie algebroids we deﬁne the notion of a weighted A-connection on a graded bundle. In .The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds.

It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws.Our main results demonstrate that isomorphism classes of DeWitt supermanifolds and those of graded man- ifolds are in a one-to-one correspondence in the sense that to a given DeWitt supermanifold M with structure sheaf G one can associate a graded manifold (MB, ~0) (where MB is the body of M), and vice versa, given a graded manifold (X.4 Cited by: