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Author: Anna M. Babel
Publisher:
ISBN: 9781607856078
Category :
Languages : en
Pages : 320
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Book Description
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.
Author: Anna M. Babel
Publisher:
ISBN: 9781607856078
Category :
Languages : en
Pages : 320
Get Book Here
Book Description
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.
Author: Robert Lipshitz
Publisher: American Mathematical Soc.
ISBN: 1470428881
Category : Mathematics
Languages : en
Pages : 294
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Book Description
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.
Author: Hansjörg Geiges
Publisher: Cambridge University Press
ISBN: 1139467956
Category : Mathematics
Languages : en
Pages : 8
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Book Description
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.
Author: D. E. Blair
Publisher: Springer
ISBN: 3540381546
Category : Mathematics
Languages : en
Pages : 153
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Book Description
Author: Y. Eliashberg
Publisher: American Mathematical Soc.
ISBN: 0821807765
Category : Mathematics
Languages : en
Pages : 82
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Book Description
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.
Author: David E. Blair
Publisher: Springer Science & Business Media
ISBN: 1475736045
Category : Mathematics
Languages : en
Pages : 263
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Book Description
Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).
Author: N. Kikuchi
Publisher: SIAM
ISBN: 9781611970845
Category : Science
Languages : en
Pages : 508
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Book Description
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Author: Dale Rolfsen
Publisher: American Mathematical Soc.
ISBN: 0821834363
Category : Mathematics
Languages : en
Pages : 458
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Book Description
Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's theorem, for example, which are then applied to concrete problems, such as computing knot groups. For experts, Rolfsen explains advanced topics, such as the connections between knot theory and surgery and how they are useful to understanding three-manifolds. Besides providing a guide to understanding knot theory, the book offers 'practical' training. After reading it, you will be able to do many things: compute presentations of knot groups, Alexander polynomials, and other invariants; perform surgery on three-manifolds; and visualize knots and their complements.It is characterized by its hands-on approach and emphasis on a visual, geometric understanding. Rolfsen offers invaluable insight and strikes a perfect balance between giving technical details and offering informal explanations. The illustrations are superb, and a wealth of examples are included. Now back in print by the AMS, the book is still a standard reference in knot theory. It is written in a remarkable style that makes it useful for both beginners and researchers. Particularly noteworthy is the table of knots and links at the end. This volume is an excellent introduction to the topic and is suitable as a textbook for a course in knot theory or 3-manifolds. Other key books of interest on this topic available from the AMS are ""The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace your Shoes"" and ""The Knot Book.""
Author: Ana Deumert
Publisher: John Benjamins Publishing
ISBN: 9027252513
Category : Literary Criticism
Languages : en
Pages : 386
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Book Description
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.
Author: Ana Cannas da Silva
Publisher: Springer
ISBN: 354045330X
Category : Mathematics
Languages : en
Pages : 240
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Book Description
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.
