{"product_id":"parity-and-patterns-in-low-dimensional-d-p-ilyutko-9781908106476","title":"Parity and Patterns in Low-dimensional Topology","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e D. P. Ilyutko,V. O. Manturov,I. M. Nikonov\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1908106476\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781908106476\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge Scientific Publishers\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/16\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 184\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.53lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.50h x 5.50w x 0.42d","brand":"D. P. Ilyutko","offers":[{"title":"Paperback","offer_id":47424504758527,"sku":"9781908106476","price":52.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_b13cdd67-fde0-41e4-9499-a33a4179ea16.jpg?v=1761530659","url":"https:\/\/www.whiterainbookhouse.com\/products\/parity-and-patterns-in-low-dimensional-d-p-ilyutko-9781908106476","provider":"WR Book House","version":"1.0","type":"link"}