1 edition of **Flow Lines and Algebraic Invariants in Contact Form Geometry** found in the catalog.

- 327 Want to read
- 8 Currently reading

Published
**2003**
by Birkhäuser Boston, Imprint: Birkhäuser in Boston, MA
.

Written in English

- Differential equations,
- Mathematics,
- Global differential geometry,
- Algebraic topology,
- Partial Differential equations

This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). In particular, this work develops a novel algebraic tool in this field: rooted in the concept of critical points at infinity, the new algebraic invariants defined here are useful in the investigation of contact structures and Reeb vector fields. The book opens with a review of prior results and then proceeds through an examination of variational problems, non-Fredholm behavior, true and false critical points at infinity, and topological implications. An increasing convergence with regular and singular Yamabe-type problems is discussed, and the intersection between contact form and Riemannian geometry is emphasized, with a specific focus on a unified approach to non-compactness in both disciplines. Fully detailed, explicit proofs and a number of suggestions for further research are provided throughout. Rich in open problems and written with a global view of several branches of mathematics, this text lays the foundation for new avenues of study in contact form geometry. Graduate students and researchers in geometry, partial differential equations, and related fields will benefit from the book"s breadth and unique perspective.

**Edition Notes**

Statement | by Abbas Bahri |

Series | Progress in Nonlinear Differential Equations and Their Applications -- 53, Progress in nonlinear differential equations and their applications -- 53. |

Classifications | |
---|---|

LC Classifications | QA641-670 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (ix, 225 p.) |

Number of Pages | 225 |

ID Numbers | |

Open Library | OL27039176M |

ISBN 10 | 1461265762, 1461200210 |

ISBN 10 | 9781461265764, 9781461200215 |

OCLC/WorldCa | 853270754 |

Geometry of Harmonic Maps by Yuanlong Xin, , available at Book Depository with free delivery worldwide. We use cookies to give you the best possible experience. Flow Lines and Algebraic Invariants in Contact Form Geometry. Abbas Bahri. 01 Oct used classical invariants (\brackets") as a tool for geometric computations with convex polytopes. At that time, I was inspired by Felix Klein’s Erlanger Programm () which postulates that Geometry is Invariant Theory. In Fall , during my rst postdoc at the IMA in Minneapolis.

Variational Problems in Riemannian Geometry by Paul Baird, , available at Book Depository with free delivery worldwide. We use cookies to give you the best possible experience. Flow Lines and Algebraic Invariants in Contact Form Geometry. Abbas Bahri. 01 Oct Hardback. US$ Add to basket. 28% off. Browse other questions tagged aic-geometry ative-algebra invariant-theory or ask your own question. Featured on Meta Community and Moderator guidelines for .

Similarly, one can take a CY3-fold and by slanting elements of the universal sheaf with elements of the Chow group of the 3fold, construct the DT (Donaldson-Thomas invariants) - at least morally I . Algebraic geometric invariants for a class of one-relator groups Sal Liriano* brings into combinatorial group theory the numerous invariants of algebraic geometry and commutative algebra associated with algebraic varieties. follow directly from the Jordan normal form. Others, like Lemma hold in more.

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Flow Lines and Algebraic Invariants in Contact Form Geometry (Progress in Nonlinear Differential Equations and Their Applications Book 53) - Kindle edition by Bahri, Abbas.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Flow Lines and Algebraic Invariants in Contact Form Geometry (Progress in Price: $ This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).

This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Read more. Get this from a library.

Flow Lines and Algebraic Invariants in Contact Form Geometry. [Abbas Bahri] -- This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and. Description: This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).

In particular, it develops a novel algebraic tool in this field: rooted in the concept of. In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying a condition called 'complete non-integrability'.

Equivalently, such a distribution may be given (at least locally) as the kernel of a differential one-form, and the non-integrability condition translates into a maximal non-degeneracy. Cite this chapter as: Bahri A.

() The Flow Z 0 of [2]: Critical Points at Infinity, False and True. In: Flow Lines and Algebraic Invariants in Contact Form Geometry. Progress in Nonlinear Differential Equations and Their Applications, vol Author: Abbas Bahri.

In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli was developed by David Mumford inusing ideas from the paper (Hilbert ) in classical invariant theory.

Geometric invariant theory studies an action of a group G on an algebraic variety (or scheme) X and provides. The NOOK Book (eBook) of the Initial Contact by A.D.

Ray at Barnes & Noble. FREE Shipping on $35 or more. Due to COVID, orders may be delayed. Thank you for your patience. Book Annex Membership Educators Gift Cards Stores & Events Help Auto Suggestions are available once you type at least 3 letters. Author: A.D. Ray. Flow Lines and Algebraic Invariants in Contact Form This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).Pages: All the invariants form a $ k $ - algebra and the aim of the theory of invariants is to describe this algebra.

Thus, the invariants of forms are the invariants of the general linear group with respect to its representation in the space of symmetric tensors of fixed rank of the underlying (or dual) space (the coefficients of the original form. Flow Lines And Algebraic Invariants In Contact Form Geometry By Abbas Bahri.

Flow Lines - $ Flow Lines And Algebraic Invariants In Contact, Bahri- Flow Lines - $ Flow Lines And Algebraic Invariants In Contact Form Geometry By Abbas Bahri Eng. Flow Lines - $ Invariants of a presentation of a group. Unchanged under perturbation.

Thirdly, if one is studying an object which varies in a family, as is common in algebraic geometry and differential geometry, one may ask if the property is unchanged under perturbation (for example, if an object is constant on families or invariant under change of metric).

Recent developments in the field of differential geometry have been so extensive that a new book with particular emphasis on current work in Riemannian geometry is clearly necessary. This new text brilliantly serves that purpose and includes an elementary account of twistor spaces that will interest both applied mathematicians and physicists.

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Contact form geometry has become over the last twenty years a vast area of research related to conformal geometry in several ways,including pseudo-holomorphic curves and Gromov-Witten invariants (contact homology).The approach developed in this book defines another set of algebraic invariants in this field,which is distinct from.

Bahri, "Flow-lines and Algebraic invariants in Contact Form Geometry PNLDE,", "Flow-lines and Algebraic invariants in Contact Form Geometry PNLDE,", 53 ().

Google Scholar [3] A. Bahri, Compactness, Advanced Nonlinear Stud., 8 (), Google Scholar [4]Author: Abbas Bahri. Buy Enumerative Invariants in Algebraic Geometry and String Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June(Lecture Notes in Mathematics) on FREE SHIPPING on qualified ordersAuthor: Marcos Marino.

Global differential geometry. Refine your search Available. Online. Library. Flow lines and algebraic invariants in contact form geometry / Abbas Bahri. Boston, MA: Birkhäuser, c Book Contact. University of Toronto Libraries St.

George St.,Toronto, ON, M5S 1A5. This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Author: Abbas Bahri.arXiv:math/v2 [] 2 Dec Donaldson-Thomas Type Invariants via Microlocal Geometry K.

Behrend December 1, Abstract We prove that Donaldson-Thomas type invariants are equal to weighted Euler characteristics of their moduli spaces.

In particular, such invariants depend only on the scheme structure of the moduli space, not.Algebraic curves and topological expansion namely under transformations of the curve which preserve the symplectic form up to a sign ±dx∧dy.

We also show that Z N(E) satisﬁes bilinear Hirota equations, and thus Z N(E) is a formal τ-function and we construct the .