{"product_id":"polynomial-one-cocycles-for-knots-and-closed-braids","title":"Polynomial One-cocycles For Knots And Closed Braids","description":"Traditionally, 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.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":54237642752344,"sku":"9789811210297","price":102.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9789811210297.jpg?v=1777526116","url":"https:\/\/agendabookshop.com\/products\/polynomial-one-cocycles-for-knots-and-closed-braids","provider":"Agenda Bookshop","version":"1.0","type":"link"}