{"product_id":"polynomial-one-cocycles-knots-closed-braids-9789811210297-new","title":"Polynomial One-Cocycles for Knots and Closed Braids","description":"\u003cp\u003eTraditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under \"higher\" Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be transformed into knots in the solid torus without loss of information. It turns out that knots in the solid torus have a particular rich topological moduli space. It contains many \"canonical\" loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544479498530,"sku":"9789811210297-new","price":106.31,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811210297.jpg?v=1776404849","url":"https:\/\/www.albakireads.com\/products\/polynomial-one-cocycles-knots-closed-braids-9789811210297-new","provider":"AlbakiReads","version":"1.0","type":"link"}