{"product_id":"9781498733809","title":"Diagram Genus, Generators, and Applications (Chapman \u0026 Hall\/crc Monographs and Research Notes in Mathematics)","description":"\u003cp\u003eIn knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns (\"generators\"). This book presents a self-contained account of the canonical genus: the genus of knot diagrams. The author explores recent research on the combinatorial theory of knots and supplies proofs for a number of theorems. He gives a detailed structure theorem for canonical Seifert surfaces of a given genus and covers applications, such as the braid index of alternating knots and hyperbolic volume.\u003c\/p\u003e","brand":"Chapman \u0026 Hall\/CRC","offers":[{"title":"Default Title","offer_id":49181713760483,"sku":"00000_00000_00000_00000","price":249.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0764\/3758\/6147\/files\/9781498733809-1.jpg?v=1788390347","url":"https:\/\/usa.kinokuniya.com\/ja\/products\/9781498733809","provider":"Books Kinokuniya USA","version":"1.0","type":"link"}