Braids and Knots
作者： Patrick D. Bangert
DOI: 10.1007/978-3-642-00837-5_1
关键词: Mathematical theory 、 Calculus 、 Computer science 、 Braid group 、 Braid 、 Braid theory 、 Critical pair 、 Word problem (mathematics) 、 Jones polynomial 、 Knot theory
摘要: We introduce braids via their historical roots and uses, make connections with knot theory present the mathematical of through braid group. Several basic properties are explored equivalence problems under several conditions defined partly solved. The connection knots is spelled out in detail translation methods presented. Finally a number applications given. presentation pedagogical principally aimed at interested readers from different fields mathematics natural science. discussions as self-contained can be expected within space limits require very little previous knowledge. Literature references given throughout to original papers overview sources where more learned.
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