Classical teichmuller theory is a topic in complex analysis. Teichmuller theory is the everexpanding manual to this unique feature of mathematics. The goal of this paper is to develop an arithmetic teichmuller theory, by which we mean, introducing arithmetic objects. Teichmuller space encodes the possible number of ways in which you can deform complex structure on a space. Efficiency theories differential efficiency operating. Extremal maps and special metrics give alternative perspectives to moduli problems and clarify. Then there exists a complete hyperbolic structure x with geodesic boundary on the pair of pants s2 \ 3 discs such that lengths of boundary curves are l1,l2,l3. Inthepresentpaper,whichisthesecondinaseriesoffourpa. Introduction an orientation preserving homeomorphism f from a riemann surface x onto a riemann surface y is given.
Curt mcmullen regularly teaches courses on the subject and he has really nice course notes on the subject. Thurston opened a new and wide area of research by introducing beautiful techniques of hyperbolic geometry in the study of teichmuller space and of its. To prove the theorem, we need to be able to estimate hyperbolic lengths of simple. Two books that are friendly to algebraic geometers are it and ab. The fenchelnielsen coordinates so named after werner fenchel and jakob nielsen on the teichmuller space are associated to a pants decomposition of the surface. Easily combine multiple files into one pdf document. How to merge pdfs and combine pdf files adobe acrobat dc. An introduction to teichmuller theory notes from a course given by dick canary, fall 2015 november 23, 2015 1 an overview of hyperbolic geometry 1. A theory of mergers and firm size we propose a theory of mergers that combines managerial merger motives with an industrylevel regime shift that may lead to valueincreasing merger opportunities. Gardiner and nikola lakic, quasiconformal teichmuller theory, 2000 75 greg hjorth, classification and orbit equivalence relations, 2000 74 daniel w. In our recently released textbook mergers and acquisitions.
First, we assume that managers derive private benefits from operating a firm in addition to the value of any ownership share of the firm they have. A survey of the very important weilpetersson metric can be found in w. Introduction much of the theory of riemann surfaces boils down to the following theorem, the twodimensional equivalent of thurstons. The failure to address the issues that concern merger and acquisition impacts the new and current organization very negatively at the stage of postmerger in two levels. Two of the most important stylized facts about mergers are the following. Each point in may be regarded as an isomorphism class of marked riemann surfaces, where a marking is an isotopy class of homeomorphisms from to itself. Teichmuller theory and applications to geometry, topology, and dynamics hardcover june 6, 2006 by john h. Apr 02, 2009 our theory of mergers is able to reconcile both of these stylized facts. Interuniversal teichmuller theory ii hodgearakelovtheoretic evaluation shinichi mochizuki april2020 abstract. First, the stock price of the acquirer in a merger. In our forthcoming journal of finance article eat or be eaten. Athanase papadopoulos teichmuller theory is one of those few wonderful subjects which bring together, at an equally important level, fundamental ideas coming from different.
What are the mathematical prerequisites to understanding. A panoramic overview of interuniversal teichmuller theory. Teichmuller theory is one of those few wonderful subjects which bring together, at an equally important. See all formats and editions hide other formats and editions. We study the space ps of marked complex projective cp1 structures on a compact surface in terms of teichmuller theory and hyperbolic geometry.
This volume is the second of four volumes devoted to teichmuller theory and its applications to geometry, topology, and dynamics. An empirical examination of efficiency theory of mergers in. Courant institute of mathematical sciences, new york university. Testing hubris hypothesis of mergers and acquisitions. One of the key predictions of agency theory is that low managerial ownership in the acquirer rm leads to poor postmerger performance. Law, theory, and practice we aim to change the way that transactional law is taught in u.
It is based on a course i taught at university of utah in 19921993. So you would need complex analysis and probably real analysis before that. Teichmuller theory and applications to geometry, topology. This is a decomposition of into pairs of pants, and to each curve in the decomposition is associated its length in the hyperbolic metric corresponding to the point in teichmuller space, and another real parameter called the. Quasiconformal mappings and teichmullers theorem by bers, lipman. The goal of this paper is to develop an arithmetic teichmuller theory, by which we mean, introducing arithmetic objects summarizing the arithmetic information coming from all curves of the same topological type defined over numberfields. Talk by luo feng december 27, 2010 let us denote by g. A merger in simple words refers to combining of two companies into one. It is a basic tool in the study of riemanns moduli spaces and the mapping class groups. Second, we assume that there is a regime shift that creates potential synergies.
Valuation for mergers and acquisitions second edition barbara s. The efficiency theory of mergers, which views mergers as effective tools to reap benefits of synergy, is still the basis of many merger studies. Teichmuller theory the teichmuller space of a riemann surface is the space of all deformations of the complex structure, with a topological marking that insures that the teichmuller space is simply connected. According to differential theory of merger, one reason for a merger is that if the management of a company x is more efficient than the management of the company y than it is better if company x acquires the company y and increase the level of the efficiency of the company y. One of these two levels is the individual level and the reactions of the individual employees are insecurity, powerlessness, alienation, a drop in productivity, loss of energy. Introduction the roots of quasiconformal theory lie in geography, more precisely in the study of mappings from subsets of the sphere to the euclidean plane, and the attempts to nd the \best such mappings. Abstract we present a brief exposition of teichmullers. Towards a modular functor from quantum higher teichmuller theory. Pdf quasiconformal teichmuller theory as an analytical. Quasiconformal teichmuller theory as an analytical foundation for twodimensional conformal field theory chapter pdf available january 2017 with 40 reads how we measure reads. The moduli space m s2,a is an irreducible quasipro jective variety and a complex manifold. Volumes 2 through 4 prove four theorems by william thurston. The teichmuller space of a surface was introduced by o.
The failure to address the issues that concern merger and acquisition impacts the new and current organization very negatively at the stage of post merger in two levels. Efficiency theories differential efficiency operating synergy. I propose a categorization of such motives based on the residual. This volume uses quasiconformal mapping to give a unified and uptodate treatment of \tx\. Depending on the approach you take to teichmuller theory, some knowledge of manifolds and differential geometry would also be helpful. The goal of this paper is to develop an arithmetic teichmuller theory, by which we mean, introducing arithmetic objects summarizing the arithmetic. The moduli space of s2,aisthespaceofallinjectivemaps. Complex projective structures, grafting, and teichmuller theory. F d 0 for both j d 1 and j d 2, show that the limit limt. Complex structures, jacobians and the weil petersson form 31 lecture 4. Pdf quasiconformal maps and teichmuller theoryextremal.
Geometry of teichmuller space with the teichmuller metric howard masur january 20, 2010 1 introduction the purpose of this chapter is to describe recent progress in the study of teichmuller geometry. Teichmuller theory and applications matrix editions. What is a good introduction to teichmuller theory, mapping class groups etc. Our pdf merger allows you to quickly combine multiple pdf files into one single pdf document, in just a few clicks. Though the efficiency theory of mergers has dominated the field of research on merger motives for many years, its empirical validity is still very limited. Introduction the hubris theory roll, 1986 constitutes a psychological based approach to explain mergers and. Quasiconformal maps and teichmuller theoryextremal mappings, overview article pdf available in bulletin classe des sciences mathematiques et natturalles 14538 january 20 with 439 reads. This course was a prequel to the 19931994 course on thurstons hyperbolization. The primary focus of teichmuller theory is riemann surfaces of finite topological type, thus surfaces with g handles, m punctures, and n holes, for some triple of nonnegative integers g,m,n. An empirical examination of efficiency theory of mergers. An introduction to teichmuller spaces springerlink.
Towards a modular functor from quantum higher teichmuller theory gus schrader university of california, berkeley berkeley tokyo workshop on quantum field theory and subfactors november 18, 2016 gus schrader uc berkeley quantum higher teichmuller theory berkeley tokyo workshop on quantum field theory and subfactors november 18, 2016 1 19. Pdf the influence of resource based view in the mergers. Teichmuller theory and applications to geometry, topology, and dynamics volume 1. Use 3 disjoint mutually nonseparating geodesics in h2 such that hyperbolic distances between them are the numbers. Jul 08, 2016 according to this theory if the management of firm a is more efficient than the management of firm b and after firm a acquires firm b the efficiency of firm b is brought upto the level of efficiency of firm a.
Based on a series of graduate lectures given by vladimir markovic at the university of warwick in spring 2003, this book is accessible to those with a grounding in complex analysis looking for an introduction to the theory of quasiconformal maps and teichmuller theory. Department of accounting, chaoyang university of technology. Mergers and acquisitions motives jrisy motis 1 toulouse school of economics ehess gremaq and university of crete jrissy. Teichmuller s work on quasiconformal mappings 43 references 55 1. Merger, acquisition, hubris, event study jel classification. The mantra is studying objects in families gives important information about the individual objects. Jun 04, 2015 the goal of this paper is to develop an arithmetic teichmuller theory, by which we mean, introducing arithmetic objects summarizing the arithmetic information coming from all curves of the same. The classification of homeomorphisms of surfaces 2. The first volume gave an introduction to teichmuller theory. M is a simplyconnected manifold locally isometric to hn which implies by riemannian geometry arguments. Abstract we present a brief exposition of teichmuller s.
Mochizuki rims, kyoto university interuniversal teichm. Stroock, an introduction to the analysis of paths on a riemannian manifold, 2000 73 john locker, spectral theory of nonselfadjoint twopoint differential operators, 2000. By m obius theorem, gand ntogether can classify all the oriented surfaces of nite type up to homeomorphism. Introduction to teichmuller theory, old and new ems publishing. Teichmuller theory by applying the theory of semigraphs of anabelioids. Gardiner and jun hu winter, 2005, hri, allahabad, india. Basis for horizontal merger it may be social gain as well as private gain. Ill indicate its broad lines in the next few paragraphs. Schatz, teichmuller theory for surfaces with boundary, to appear. These objects are fundamental in several fields of mathematics, including algebraic geometry, number theory, topology, geometry, and dynamics. To date, academic researchers have not yet proposed a complete theory that completely and. Theories in merger and acquisition mergers and acquisitions. The teichmuller space \tx\ is the space of marked conformal structures on a given quasiconformal surface \x\. Emphasis is placed on parts of the theory applicable to noncompact surfaces and to surfaces possibly of infinite analytic type.
Teichmuller theory mathematisches institut universitat bonn. Introduction to teichm\ uller theory and its applications to dynamics. By grothendiecks anabelian conjectures, galois representations landing in outer automorphism group of the algebraic fundamental group which are associated to hyperbolic smooth curves defined over numberfields encode all the arithmetic information of these curves. Mar 31, 2016 we wrote this book with the intent of teaching students not just the law and theory behind mergers and acquisitions, but the practice of the art itself.
Geometry of teichmuller space with the teichmuller metric. Grad riemann surface algebraic geometry complex analysis differential geometry ergodic theory geometry quantum theory topology. Interuniversal teichmuller theory i rims, kyoto university. It is illustrated with diagrams, examples, and exercises for the reader.