Topological fields
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Topological fields

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Published by Wydawnictwo Uniwersytetu Wrocławskiego in Wrocław .
Written in English


  • Topological fields.

Book details:

Edition Notes

StatementWitold Więsław.
SeriesActa Universitatis Wratislaviensis ;, no. 675., Matematyka, fizyka, astronomia ;, 43, Acta Universitatis Wratislaviensis ;, no. 675., Acta Universitatis Wratislaviensis., 43.
LC ClassificationsQ60 .U53a no. 43, QA247 .U53a no. 43
The Physical Object
Pagination219 p. ;
Number of Pages219
ID Numbers
Open LibraryOL3233937M
LC Control Number83147267

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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. Volume , Pages 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.