A Study of Braids
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The work A Study of Braids represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
A Study of Braids
Resource Information
The work A Study of Braids represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 A Study of Braids
 Statement of responsibility
 by Kunio Murasugi, B. Kurpita
 Language

 eng
 eng
 Summary
 In Chapter 6, we describe the concept of braid equivalence from the topological point of view. This will lead us to a new concept braid homotopy that is discussed fully in the next chapter. As just mentioned, in Chapter 7, we shall discuss the difference between braid equivalence and braid homotopy. Also in this chapter, we define a homotopy braid invariant that turns out to be the socalled Milnor number. Chapter 8 is a quick review of knot theory, including Alexander's theorem. While, Chapters 9 is devoted to Markov's theorem, which allows the application of this theory to other fields. This was one of the motivations Artin had in mind when he began studying braid theory. In Chapter 10, we discuss the primary applications of braid theory to knot theory, including the introduction of the most important invariants of knot theory, the Alexander polynomial and the Jones polynomial. In Chapter 11, motivated by Dirac's string problem, the ordinary braid group is generalized to the braid groups of various surfaces. We discuss these groups from an intuitive and diagrammatic point of view. In the last short chapter 12, we present without proof one theorem, due to Gorin and Lin [GoL] , that is a surprising application of braid theory to the theory of algebraic equations
 Dewey number
 514.2
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 Zz4h_CPc5zY
 YFTMskNylpQ
 Image bit depth
 0
 Language note
 English
 LC call number
 QA612612.8
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Mathematics and Its Applications
 Series volume
 484
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