2 edition of Topological fields found in the catalog.
|Series||Acta Universitatis Wratislaviensis ;, no. 675., Matematyka, fizyka, astronomia ;, 43, Acta Universitatis Wratislaviensis ;, no. 675., Acta Universitatis Wratislaviensis., 43.|
|LC Classifications||Q60 .U53a no. 43, QA247 .U53a no. 43|
|The Physical Object|
|Pagination||219 p. ;|
|Number of Pages||219|
|LC Control Number||83147267|
A topological field is a field equipped with a topology such that all of the field operations are continuous functions. Definition A topological field is a topological ring whose underlying ring in Set Set is a field K K and such that the multiplicative inversion operation i: . Notes on Topological Field Theory Xi Yin Harvard University Introduction The notes give a survey of the basics of the following topological ﬁeld theories: † The Chern-Simons gauge theory on 3-manifolds, its renormalization, geomet-ric quantization, computation of partition functions by surgery, and relation with Jones PolynomialsFile Size: KB.
Basic to the approach taken is that the topological composition of electromagnetic fields is the fundamental conditioner of the dynamics of these fields. The treatment of electromagnetism from, first, a topological perspective, continuing through group theory and gauge theory, to a differential calculus description is a major thread of the book. This book is intended for researchers and graduate students working in the field of topological insulators and related areas. Shun-Qing Shen is a Professor at the Department of Physics, the University of Hong Kong, : Springer-Verlag Berlin Heidelberg.
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Topological Fields (Pure & Applied Mathematics) by Witold Wieslaw (Author) ISBN Genres: Science, Mathematics, Textbook. Description Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields Book Edition: 1.
The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf by: Search in this book series. Topological Fields. Edited by Seth Warner.
VolumePages ii-x, () Download full volume. Previous volume. Next volume. Actions for selected chapters. Select all / Deselect all. Download PDFs Export citations. Show all chapter previews Show all chapter previews. Topological Fields and Near Valuations - CRC Press Book Part I (eleven chapters) of this text for graduate students provides a Survey of topological fields, while Part II (five chapters) provides a relatively more idiosyncratic account of valuation theory.
Fields Institute Monographs 7. AMS, [$49] • YRudyak. OnThomSpectra, Orientability, andCobordism. Springer, [$] • R E Stong. Notes on Cobordism Theory. Princeton University Press, [OP] — An older book emphasizing the calculations of the File Size: 65KB. Introduction This book offers a theoretical description of topological matter in terms of effective field theories, and in particular topological field theories, focusing on two main topics: topological superconductors and topological insulators.
Notes on String Topology. String topology is the study of algebraic and differential topological properties of spaces of paths and loops in manifolds.
Topics covered includes: Intersection theory in loop spaces, The cacti operad, String topology as field theory, A Morse theoretic viewpoint, Brane topology. These are notes made by a graduate student for graduate and undergrad- uate students.
The intention is purely educational. They are a review of one the most beautiful elds on Physics and Mathematics, the Quantum Field Theory, and its mathematical extension, Topological Field Theories. One then has to "deframe" in order to arrive at the usual knot invariants.
There is also a distinction to be made between "topological field theory" and "cohomological field theory", the latter computing invariants once a class of metrics (say, fixing the holonomy) has been chosen.
$\endgroup$ – José Figueroa-O'Farrill Jan 4 '10 at The book begins with simple concepts such as Berry phases, Dirac fermions, Hall conductance and its link to topology, and the Hofstadter problem of lattice electrons in a magnetic field. It moves on to explain topological phases of matter such as Chern insulators, two- and three-dimensional topological insulators, and Majorana p-wave wires.
Dedekind Domains. Linear Topologies on the Quotient Field of a Dedekind Domain. Locally Bounded Topologies on Algebraic Number Fields and Algebraic Function Fields.
Locally Bounded Topologies on Orders of Algebraic Number Fields and Algebraic Function Fields. Historical Notes. The Origin of the Theory of Topological Fields.
Absolute Values. Topological Quantum: Lecture Notes S. Simon Michaelmas not necessarily the right outline for making a good book. Topological Quantum page 2. Contents 1 Introduction and History of Topology and Kelvin 7 17 Conformal Field Theory Approach to Fractional Quantum Hall E ect This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories.
Starting with basic definitions, it proceeds to the forefront of current 1 introduces monoidal categories and several of their classes, including rigid, pivotal.
Additional Physical Format: Online version: Więsław, Witold. Topological fields. New York: M. Dekker, © (OCoLC) Material Type: Internet resource. Topological solitons occur in many nonlinear classical field theories.
They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions.
String topology is the study of algebraic and differential topological properties of spaces of paths and loops in manifolds.
Topics covered includes: Intersection theory in loop spaces, The cacti operad, String topology as field theory, A Morse theoretic viewpoint, Brane topology. Author(s): Ralph L.
Cohen and Alexander A. Voronov. Topological fields are either connected or totally disconnected. There exists a connected topological field of arbitrary finite characteristic.
It is unknown () whether every topological field can be imbedded as a subfield in a connected topological field. In contrast to topological rings and linear topological spaces, not every completely. Mathematics Nonfiction Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields).
The reader is given enough background to tackle the current literature without undue additional preparation. 3) Birmingham et al - Topological Field Theory This is a long, and a little old, review of many different topological field theories.
It also contains a little bit about Chern-Simons theory but not as much as the other two above, as I remember. Topological invariants and their applications to a variety of systems from one-dimensional polyacetalene, to two-dimensional quantum spin Hall effect and p-wave superconductors, and three-dimensional topological insulators and superconductors or superfluids are introduced, helping readers to better understand this fascinating new field.Topological Quantum Field Theory and Four Manifolds by JOSE LABASTIDA and MARCOS MARINO.
A C.I.P. Catalogue record for this book is available from the Library of Congress. ISBN (HB) ISBN (e-book) Published by Springer, P.O. .Book Description. Part I (eleven chapters) of this text for graduate students provides a Survey of topological fields, while Part II (five chapters) provides a relatively more idiosyncratic account of valuation theory.
No exercises but a good number of examples; .