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Contact Structure And Change
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Book Synopsis Contact, Structure, and Change by : Anna M. Babel
Download or read book Contact, Structure, and Change written by Anna M. Babel and published by . This book was released on 2021-03-12 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contact, Structure, and Change addresses the classic problem of how and why languages change over time through the lens of two uniquely productive and challenging perspectives: the study of language contact and the study of Indigenous American languages. Each chapter in the volume draws from a distinct theoretical positioning, ranging from documentation and description, to theoretical syntax, to creole languages and sociolinguistics. This volume acts as a Festschrift honoring Sarah G. Thomason, a long-time professor at the University of Michigan, whose career spans the disciplines of historical linguistics, contact linguistics, and Native American studies. This conversation among distinguished scholars who have been influenced by Thomason extends and in some cases refracts the questions her work addresses through a collection of studies that speak to the enduring puzzles of language change.
Book Synopsis An Introduction to Contact Topology by : Hansjörg Geiges
Download or read book An Introduction to Contact Topology written by Hansjörg Geiges and published by Cambridge University Press. This book was released on 2008-03-13 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.
Book Synopsis Bordered Heegaard Floer Homology by : Robert Lipshitz
Download or read book Bordered Heegaard Floer Homology written by Robert Lipshitz and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
Book Synopsis Contact Manifolds in Riemannian Geometry by : D. E. Blair
Download or read book Contact Manifolds in Riemannian Geometry written by D. E. Blair and published by Springer. This book was released on 2006-11-14 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Holomorphic Curves in Low Dimensions by : Chris Wendl
Download or read book Holomorphic Curves in Low Dimensions written by Chris Wendl and published by Springer. This book was released on 2018-06-28 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three. The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of Lefschetz fibrations and pencils, thus it includes some background on these topics, in addition to a survey of the required analytical results on holomorphic curves. Emphasizing applications rather than technical results, the analytical survey mostly refers to other sources for proofs, while aiming to provide precise statements that are widely applicable, plus some informal discussion of the analytical ideas behind them. The second half of the book then extends this program in two complementary directions: (1) a gentle introduction to Gromov-Witten theory and complete proof of the classification of uniruled symplectic 4-manifolds; and (2) a survey of punctured holomorphic curves and their applications to questions from 3-dimensional contact topology, such as classifying the symplectic fillings of planar contact manifolds. This book will be particularly useful to graduate students and researchers who have basic literacy in symplectic geometry and algebraic topology, and would like to learn how to apply standard techniques from holomorphic curve theory without dwelling more than necessary on the analytical details. This book is also part of the Virtual Series on Symplectic Geometry http://www.springer.com/series/16019
Book Synopsis An Introduction to CR Structures by : Howard Jacobowitz
Download or read book An Introduction to CR Structures written by Howard Jacobowitz and published by American Mathematical Soc.. This book was released on 1990 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometry and analysis of CR manifolds is the subject of this expository work, which presents all the basic results on this topic, including results from the folklore of the subject.
Book Synopsis Lectures on Symplectic Geometry by : Ana Cannas da Silva
Download or read book Lectures on Symplectic Geometry written by Ana Cannas da Silva and published by Springer. This book was released on 2004-10-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
Book Synopsis Structure and Variation in Language Contact by : Ana Deumert
Download or read book Structure and Variation in Language Contact written by Ana Deumert and published by John Benjamins Publishing. This book was released on 2006-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a careful selection of fifteen articles presented at the SPCL meetings in Atlanta, Boston and Hawai'i in 2003 and 2004. The contributions reflect - from various perspectives and using different types of data - on the interplay between structure and variation in contact languages, both synchronically and diachronically. The contributors consider a wide range of languages, including Surinamese creoles, Chinook Jargon, Yiddish, AAVE, Haitian Creole, Afro-Hispanic and Afro-Portuguese varieties, Nigerian Pidgin, Sri Lankan Malay, Papiamentu, and Bahamian Creole English (Hackert). A need to question and test existing claims regarding pidginization/creolization is evident in all contributions, and the authors provide analyses for a variety of grammatical structures: VO-ordering and affixation, agglutination, negation, TMAs, plural marking, the copula, and serial verb constructions. The volume provides ample evidence for the observation that pidgin/creole studies is today a mature subfield of linguistics which is making important contributions to general linguistic theory.
Book Synopsis Riemannian Geometry of Contact and Symplectic Manifolds by : David E. Blair
Download or read book Riemannian Geometry of Contact and Symplectic Manifolds written by David E. Blair and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).
Book Synopsis Fluid-structure Interactions by : Thomas Richter
Download or read book Fluid-structure Interactions written by Thomas Richter and published by Springer. This book was released on 2017-08-26 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.
Book Synopsis A Primer on Mapping Class Groups by : Benson Farb
Download or read book A Primer on Mapping Class Groups written by Benson Farb and published by Princeton University Press. This book was released on 2012 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.
Book Synopsis Breadth in Contemporary Topology by : David T. Gay
Download or read book Breadth in Contemporary Topology written by David T. Gay and published by American Mathematical Soc.. This book was released on 2019-06-27 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2017 Georgia International Topology Conference, held from May 22–June 2, 2017, at the University of Georgia, Athens, Georgia. The papers contained in this volume cover topics ranging from symplectic topology to classical knot theory to topology of 3- and 4-dimensional manifolds to geometric group theory. Several papers focus on open problems, while other papers present new and insightful proofs of classical results. Taken as a whole, this volume captures the spirit of the conference, both in terms of public lectures and informal conversations, and presents a sampling of some of the great new ideas generated in topology over the preceding eight years.
Book Synopsis Surgery on Contact 3-Manifolds and Stein Surfaces by : Burak Ozbagci
Download or read book Surgery on Contact 3-Manifolds and Stein Surfaces written by Burak Ozbagci and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about an investigation of recent developments in the field of sympletic and contact structures on four- and three-dimensional manifolds from a topologist’s point of view. In it, two main issues are addressed: what kind of sympletic and contact structures we can construct via surgery theory and what kind of sympletic and contact structures are not allowed via gauge theory and the newly invented Heegaard-Floer theory.
Book Synopsis 4-Manifolds and Kirby Calculus by : Robert E. Gompf
Download or read book 4-Manifolds and Kirby Calculus written by Robert E. Gompf and published by American Mathematical Society. This book was released on 2023-08-10 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the early 1980s, there has been an explosive growth in 4-manifold theory, particularly due to the influx of interest and ideas from gauge theory and algebraic geometry. This book offers an exposition of the subject from the topological point of view. It bridges the gap to other disciplines and presents classical but important topological techniques that have not previously appeared in the literature. Part I of the text presents the basics of the theory at the second-year graduate level and offers an overview of current research. Part II is devoted to an exposition of Kirby calculus, or handlebody theory on 4-manifolds. It is both elementary and comprehensive. Part III offers in-depth treatments of a broad range of topics from current 4-manifold research. Topics include branched coverings and the geography of complex surfaces, elliptic and Lefschetz fibrations, $h$-cobordisms, symplectic 4-manifolds, and Stein surfaces. The authors present many important applications. The text is supplemented with over 300 illustrations and numerous exercises, with solutions given in the book. I greatly recommend this wonderful book to any researcher in 4-manifold topology for the novel ideas, techniques, constructions, and computations on the topic, presented in a very fascinating way. I think really that every student, mathematician, and researcher interested in 4-manifold topology, should own a copy of this beautiful book. —Zentralblatt MATH This book gives an excellent introduction into the theory of 4-manifolds and can be strongly recommended to beginners in this field … carefully and clearly written; the authors have evidently paid great attention to the presentation of the material … contains many really pretty and interesting examples and a great number of exercises; the final chapter is then devoted to solutions of some of these … this type of presentation makes the subject more attractive and its study easier. —European Mathematical Society Newsletter
Book Synopsis Studies in Culture Contact by : James G. Cusick
Download or read book Studies in Culture Contact written by James G. Cusick and published by SIU Press. This book was released on 2015-03-05 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: People have long been fascinated about times in human history when different cultures and societies first came into contact with each other, how they reacted to that contact, and why it sometimes occurred peacefully and at other times was violent or catastrophic. Studies in Culture Contact: Interaction, Culture Change, and Archaeology, edited by James G. Cusick,seeks to define the role of culture contact in human history, to identify issues in the study of culture contact in archaeology, and to provide a critical overview of the major theoretical approaches to the study of culture and contact. In this collection of essays, anthropologists and archaeologists working in Europe and the Americas consider three forms of culture contact—colonization, cultural entanglement, and symmetrical exchange. Part I provides a critical overview of theoretical approaches to the study of culture contact, offering assessments of older concepts in anthropology, such as acculturation, as well as more recently formed concepts, including world systems and center-periphery models of contact. Part II contains eleven case studies of specific contact situations and their relationships to the archaeological record, with times and places as varied as pre- and post-Hispanic Mexico, Iron Age France, Jamaican sugar plantations, European provinces in the Roman Empire, and the missions of Spanish Florida. Studies in Culture Contact provides an extensive review of the history of culture contact in anthropological studies and develops a broad framework for studying culture contact’s role, moving beyond a simple formulation of contact and change to a more complex understanding of the amalgam of change and continuity in contact situations.
Download or read book Confoliations written by Y. Eliashberg and published by American Mathematical Soc.. This book was released on 1998 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional "brother" of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliations--which interpolate between contact structures and codimension-one foliations--should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.
Book Synopsis Electrical Contacts by : Paul G. Slade
Download or read book Electrical Contacts written by Paul G. Slade and published by CRC Press. This book was released on 1999-03-31 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the choice, attachment, and testing of contact materials, Electrical Contacts introduces a thorough discussion on making electric contact and contact interface conduction, presents a general outline of, and measurement techniques for, important corrosion mechanisms, discusses the results of contact wear when plug-in connections are made and broken, investigates the effect of thin noble metal plating on electronic connections, relates crucial considerations for making high- and low-power contact joints, details arcing effects on contacts including contact erosion, welding, and contamination, and contains nearly 2800 references, tables, equations, drawings, and photographs.
