Last edited by Kigalrajas

Tuesday, July 28, 2020 | History

5 edition of **Quadratic differentials** found in the catalog.

- 146 Want to read
- 15 Currently reading

Published
**1984**
by Springer in Berlin, New York
.

Written in English

- Quadratic differentials.,
- Riemann surfaces.

**Edition Notes**

Statement | Kurt Strebel. |

Series | Ergebnisse der Mathematik und ihrer Grenzgebiete ;, 3. Folge, Bd. 5 |

Classifications | |
---|---|

LC Classifications | QA331 .S89 1984 |

The Physical Object | |

Pagination | xii, 184 p. : |

Number of Pages | 184 |

ID Numbers | |

Open Library | OL2992044M |

ISBN 10 | 0387130357 |

LC Control Number | 84246959 |

Measured foliations and the minimal norm property for quadratic differentials Gardiner, Frederick P., Acta Mathematica, ; Hausdorff dimension of the set of nonergodic foliations of a quadratic differential Masur, Howard, Duke Mathematical Journal, Cited by: vintage-memorabilia.com: Univalent Functions. With a Chapter on Quadratic Differentials by Gerd Jensen. (Studia mathematica Band XXV) () by Pommerenke, Christian and a great selection of similar New, Used and Collectible Books available now at great prices/5(4).

Quadratic diﬀerentials of exponential type and stability Fabian Haiden (University of Vienna), joint with L. Katzarkov and M. Kontsevich January 28, Simplest Example Q— orientation of A nDynkin diagram, e.g. Quadratic differentials of exponential type and stability Author. Feb 27, · We prove that moduli spaces of meromorphic quadratic differentials with simple zeroes on compact Riemann surfaces can be identified with spaces of stability conditions on a class of CY3 triangulated categories defined using quivers with potential associated to triangulated surfaces. We relate the finite-length trajectories of such quadratic differentials to the stable objects of the.

23．5 Quadratic differentials with given lengths of the trajectories. Chapter VII． Quadratic Differentials of General Type. §24． An Extremal Property for Arbitrary Quadratic Differentials. 24．1 The height of a loop or a cross cut. Volume , number 2 PHYSICS LETTERS B QUADRATIC DIFFERENTIALS AND CLOSED STRING VERTICES Steven CARLIP ' lnstituteforAdvancedStudv, Princeton, NJ , USA Received 15 July 17 November Existence theorems for quadratic differentials on Riemann surfaces are used to explore the possible structure of local vertices in closed string field vintage-memorabilia.com by: 5.

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A quadratic differential defines, in a natural way, a field of line elements on the surface, with singularities at the critical points, i.e. the zeros and poles of the differential. The integral curves of this field are called the trajectories of the differential. A large part of this book is about the trajectory structure of quadratic.

In mathematics, a quadratic differential on a Riemann surface is a section of the symmetric square of the holomorphic cotangent vintage-memorabilia.com the section is holomorphic, then the quadratic differential is said to be vintage-memorabilia.com vector space of holomorphic quadratic differentials on a Riemann surface has a natural interpretation as the cotangent space to the Riemann moduli space, or.

A large part of this book is about the trajectory structure of quadratic differentials. There are of course local and global aspects to this structure. Be sides, there is the behaviour of an individual trajectory and the structure deter mined by entire subfamilies of trajectories.

Author: K. Strebel. Get this from a library. Quadratic differentials. [Kurt Strebel] -- A quadratic differential on aRiemann surface is locally represented by a ho℗Ư lomorphic function element wh ich transforms like the square of a derivative under a conformal change of the parameter.

Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.

Quadratic Differentials by K. Strebel,available at Book Depository with free delivery worldwide. Jan 16, · Excellent book. It is a self-contained exposition of Teichmuller theory.

A first-year graduate course in complex analysis should provide sufficient background, but the results are far-reaching. The book menages to present most of the important results about Teichmuller spaces, and introduce reader to various open problems in the vintage-memorabilia.com by: A quadratic differential is often denoted by the symbol, to which is attributed the invariance with respect to the choice of the local parameter, as indicated by (1).

In other words, a quadratic differential is a non-linear differential of type on a Riemann surface. Notational question about quadratic differentials in Strebel's book “Quadratic differentials”.

In mathematics, a quadratic form is a polynomial with terms all of degree two. For example, + − is a quadratic form in the variables x and vintage-memorabilia.com coefficients usually belong to a fixed field K, such as the real or complex numbers, and we speak of a quadratic form over K.

Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group. Holomorphic V ector Fields and Quadratic Differentials 5 Conformal Deformations in T erms of End(C 2) In this section we show how an inﬁnitesimal conformal deformation gi ves rise to.

Abstract. Every analytic function φ in a domain G of the z-plane defines, in a natural way, a field of line elements dz, namely by the requirement that φ(z)dz 2 is real and positive. This means of course that arg dz = −1/2 arg φ(z) (mod π), and thus dz is determined, up to its sign, for every z, where φ(z) ≠ 0, ∞.One may then ask for the integral curves of this field of line elements.

Quadratic differentials: with 74 figures The integral curves of this field are called the trajectories of the differential.

A large part of this book is about the trajectory structure of quadratic differentials. There are of course local and global aspects to this structure. Be℗Ư. Frederick P. Gardiner. PUBLICATIONS Books: Teichmueller Theory and Quadratic Differentials, John Wiley & Sons ().

Quasiconformal Teichmueller Theory, a book co-authored with Nikola Lakic, American Mathematical Society, Mathematical Surveys and Monographs, 76 (). Articles: Extremal length and uniformization, Contemp.

vintage-memorabilia.com, "In the tradition of Ahlfors-Bers VII," vol. ( $\begingroup$ Actually the OP is correct, quadratic differentials are identified with the cotangent space. The tangent space is Beltrami differentials on the Riemann surface modulo an equivalence relation; a Beltrami differential is the infinitesimal form of a deformation of the conformal metric, which is what a tangent vector should be tangent to.

In Frederick Gardiner's book Teichmuller Theory and Quadratic Differentials, P, Chapter 1) that dimension of $dim_RQD(X) = 6g-6+3m+2n $ (by using Riemann-Roch.

space of all quadratic differentials and let E~cQ be those which induce F. The main ingredients in the proof arc showing that E~ is nonempty and that EF maps by a local homeomorphism to TeichmiiUer space. To do the latter we use the implicit function theorem and thus we need to.

A large part of this book is about the trajectory structure of quadratic differentials. There are of course local and global aspects to this structure. Be sides, there is the behaviour of an individual trajectory and the structure deter mined by entire subfamilies of trajectories. An Abelian or first order.

Quadratic Differentials course students will master concepts and theory of Jenkins-Strebel Quadratic Differentials and theory of Extremal Metrics. The main emphasis will be given to applications of these theories to Extremal Problems for analytic functions and conformal mappings.

Methods for Assessment of Learning Outcomes. Apr 28, · You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone).Due to the nature of the mathematics on this site it is best views in landscape mode.

A brand new, fully updated edition of a popular classic on matrix differential calculus with applications in statistics and econometrics. This exhaustive, self-contained book on matrix theory and matrix differential calculus provides a treatment of matrix calculus based on differentials and shows how easy it is to use this theory once you have mastered the technique.Jan 01, · Review: Frederick P.

Gardiner, Teichmüller theory and quadratic differentials Article (PDF Available) in Bulletin of the American Mathematical Society 19() · January with 85 ReadsAuthor: Irwin Kra.A Quadratic differential defines, in a natural way, a field of line elements on the surface, with singularities at the critical points, i.e.

the zeros and poles of the differential. The integral curves of this field are called the trajectories of the differential. A large part of this book is about the trajectory structure of Quadratic.