2 edition of **Diffeomorphisms on surfaces with a finite number of moduli** found in the catalog.

Diffeomorphisms on surfaces with a finite number of moduli

Sebastian van Strien

- 18 Want to read
- 29 Currently reading

Published
**1984**
by [typescript] in [s.l.]
.

Written in English

**Edition Notes**

Thesis (Ph.D.) - University of Warwick, 1984.

Statement | Sebastian van Strien (joint work with W. de Melo). |

ID Numbers | |
---|---|

Open Library | OL14872745M |

The homology of Moduli Spaces of Riemann Surfaces Boes, Felix Jonathan Advisor: Prof. Dr. Carl-Friedrich B odigheimer Basics I Introduction A motivating question would be the following: How can one classify all complex structures on a two dimensional manifold F? The rst huge step towards a satisfactory answer, is the construction of the moduli. $\begingroup$ @Heitor, to answer your second question: as long as the "birational ruling" (i.e. the morphism with some singular fibres) has at least one fibre which is a reducible curve, then it cannot be geometrically ruled. For a geometrically ruled surface has Picard number 2, while a fibration with reducible fibre must have Picard number at least 3.

Structure of Finite Algebras (Contemporary Mathematics) This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both work. Scan an ISBN with your phone Use the Amazon App to scan ISBNs and compare by: 3. Faculty Research Interests László Babai. I work in the fields of theoretical computer science and discrete mathematics; more specifically in computational complexity theory, algorithms, combinatorics, and finite groups, with an emphasis on the interactions between these fields.

In this paper we show that the number of deformation types of complex structures on a fixed smooth oriented four-manifold can be arbitrarily large. The examples that we consider in this paper are locally simple abelian covers of rational surfaces. The proof involves the algebraic description of rational blowdowns, classical Brill-Noether theory and deformation theory of normal flat abelian by: We compute explicitly the action of the group of affine diffeomorphisms on the relative homology of two remarkable origamis discovered respectively by Forni (in genus $3$) and Forni and Matheus (in genus $4$). We show that, in both cases, the action on the nontrivial part of the homology is through finite groups. In particular, the action on some $4$-dimensional invariant subspace of the Cited by:

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Realization of cascades on surfaces with finitely many moduli of topological conjugacy. The main result characterises those Axiom A diffeomorphisms which have a finite number of moduli. This. We consider diffeomorphisms of orientable surfaces with the nonwandering set consisting of a finite number of hyperbolic fixed points and the wandering set containing a finite number of.

We consider a space \begin{document}$\mathcal{U}$\end{document} of 3-dimensional diffeomorphisms Author: Shinobu Hashimoto, Shin Kiriki, Teruhiko Soma.

This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both work. This monograph contains an exposition of the theory of minimal surfaces in Euclidean space, with an emphasis on complete minimal surfaces of finite total curvature.

Our exposition is based Author: Kichoon Yang. There are diffeomorphisms on a compact surface S with uniformly hyperbolic 1 dimensional stable and unstable foliations if and only if S is a torus: the Anosov diffeomorphisms.

What is happening on the other surfaces. This question leads to the study of pseudo-Anosov maps. Geometries on surfaces. Salzmann, Helmut, Pacific Journal of Mathematics, ; Injectivity as a transversality phenomenon in geometries of negative curvature Xavier, Frederico, Illinois Journal of Mathematics, ; Existence of orbits with non-zero torsion for certain types of surface diffeomorphisms BÉGUIN, François and BOUBAKER, Zouhour Rezig, Journal of the Mathematical Society of Japan.

In mathematics, and more precisely in topology, the mapping class group of a surface, sometimes called the modular group or Teichmüller modular group, is the group of homeomorphisms of the surface viewed up to continuous (in the compact-open topology) is of fundamental importance for the study of 3-manifolds via their embedded surfaces and is also studied in algebraic geometry.

Project Euclid - mathematics and statistics online. Diffeomorphism of simply connected algebraic surfaces Catanese, Fabrizio and Wajnryb, Bronislaw, Journal of Differential Geometry, ; Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra Baranovsky, Vladimir, Journal of Differential Geometry, ; Modifying surfaces in 4–manifolds by twist spinning Kim, Hee Jung, Cited by: Vol Number 2, October ON THE GEOMETRY AND DYNAMICS OF DIFFEOMORPHISMS OF SURFACES WILLIAM P.

THURSTON PREFACE This article was widely circulated as a preprint, about 12 years ago. At that time the Bulletin did not accept research announcements, and after a couple of attempts to publish it, I gave up, and the preprint did not find a File Size: 1MB.

Basic concepts in moduli theory. Let $ S $ be a scheme (a complex or algebraic space). A family of objects parametrized by the scheme $ S $ (or, as is often said, "scheme over Sover S" or "scheme with basis Swith basis S") is a set of objects$$ \{ {X _{s}}: {s \in S, X _{s} \in A} \}, $$ equipped with an additional structure compatible with the structure of the base $ S $.

History. Moduli spaces for Riemann surfaces and related Fuchsian groups have been studied since the work of Bernhard Riemann, who knew that − parameters were needed to describe the variations of complex structures on a surface of genus ≥.The early study of Teichmüller space, in the late nineteenth–early twentieth century, was geometric and founded on the interpretation of Riemann.

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This book covers a variety of topics, including Helmholtz equation, algebraic complex integrability, theory of Lie groups, and trigonometric polynomials. the moduli space of minimal surfaces of general type S with numerical invariants K2 S = a, χ(OS) = b; it is then possible to embed Ma,b into a complete variety Msm a,b which is a coarse moduli space for smoothable stable surfaces of general type [Vie, ], [Ale], with numerical invariants K2 = a, χ = by: Hain, R.

“Lectures on Moduli Spaces of Elliptic Curves.” Transformation Groups and Moduli Spaces of Curves: Advanced Lectures in Mathematics, edited by L. Ji and S. Yau, vol.

16, Higher Education Press,pp. 95– Symplectomorphisms of a Riemann surface. Ask Question Asked 1 year, 4 months ago. Thanks for contributing an answer to Mathematics Stack Exchange.

Various definitions of Moduli space of Riemann surfaces and Uniformization theorem. MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS By A. KING [Received 15 February ] 1. Introduction IN this paper, we present a framework for studying moduli spaces of finite dimensional representations of an arbitrary finite dimensional algebra A over an algebraically closed field k.

(The abelian category of such. Chapter 9 The Classification of Surface Diffeomorphisms Valentin Poenaru Preliminaries Rational Foliations (the Reducible Case) Arational Measured Foliations Arational Foliations with lambda = 1 (the Finite Order Case) Arational Foliations with lambda 6= 1 (the Pseudo-Anosov Case) Some Properties.

A Fête of Topology: Papers Dedicated to Itiro Tamura focuses on the progress in the processes, methodologies, and approaches involved in topology, including foliations, cohomology, and surface bundles. The publication first takes a look at leaf closures in Riemannian foliations and differentiable singular cohomology for foliations.

Moduli spaces of Riemann surfaces Introduction A motivating question would be the following: How can one classify the complex structures on a two dimensional manifold F.

The rst huge step towards a satisfactory answer, is the construction of the moduli space Size: 1MB. Title: On diffeomorphisms over surfaces trivially embedded in the 4-sphere. Authors: Susumu Hirose (Submitted on 1 Nov ) Abstract: A surface in the 4-sphere is trivially embedded, if it bounds a 3-dimensional handle body in the 4-sphere.

For a surface trivially embedded in the 4-sphere, a diffeomorphism over this surface is extensible if Cited by:. Thurston's preprint: “On the geometry and dynamics of diffeomorphisms of surfaces” W.

Veech on Teichmüller curves in moduli space, Eisenstein series and applications to triangular billiards says on the second paragraph of page "Thurston's original construction [8] corresponds.the information of the moduli space is contained in the moduli functor, i.e.

the notion of families. Sometimes this information can be extracted readily. For example, suppose the moduli space is over a eld k, and X is one of your objects over k. Recall that the tangent space to a k-scheme X at a k-point p is naturally in bijection with morphismsFile Size: KB.Algebraic Topology: Manifolds Unlocking Higher Structures 28 September – 02 October, they become diffeomorphic after replacing each with its connected sum with a finite number of and the moduli space of Riemann surfaces means that a lot is known.