Parity and Patterns in Low-dimensional Topology (Paperback)

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Description


Algebraic and topological objects are usually encoded by diagrams and moves (words and relations, etc). Diagrams (words) consist of nodes (crossings, letters). The parity theory initiated in 2009 by the second named author (V.O.Manturov) argues that if there is a smart way to distinguish between even and odd nodes (crossings, letters) in a way consistent with moves then this allows one to construct functorial mappings between objects of the theory, construct various powerful invariants, reduce problems about objects (say, knots) to problems about their diagrams, refine many existing invariants. Over the last six years, parity theory has experienced a rapid growth;investigations were undertaken by dozens of scientists worldwide. Various problems in low-dimensional topology were solved by using parity.


Product Details
ISBN: 9781908106476
ISBN-10: 1908106476
Publisher: Cambridge Scientific Publishers
Publication Date: September 16th, 2015
Pages: 184
Language: English
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