{"product_id":"9789811210297","title":"Polynomial One-cocycles for Knots and Closed Braids (Series on Knots \u0026 Everything)","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 Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":49796627529976,"sku":"00000_00000_00000_00000","price":191.92,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/8208\/6904\/files\/9789811210297-1.jpg?v=1783814519","url":"https:\/\/kinokuniya.com.au\/products\/9789811210297","provider":"Books Kinokuniya Australia","version":"1.0","type":"link"}