\(\renewcommand{\P}{\mathcal{P}} \newcommand{\B}{\mathcal{B}} \newcommand{\C}{\mathcal{C}} \newcommand{\E}{\mathcal{E}} \newcommand{\R}{\mathcal{R}} \newcommand{\Z}{\mathcal{Z}} \newcommand{\lt}{ < } \newcommand{\gt}{ > } \newcommand{\amp}{ & } \)

Back MatterBack Matter

Section1References

[1]
  
Emil Artin, Theory of Braids, Annals of Mathematics (1947).
http://www.jstor.org/stable/1969218
[2]
  
Emil Artin, The Theory of Braids, American Scientist 38 no. 1 (1950).
http://www.jstor.org/stable/27826294
[3]
  
Joan Birman, Braids, Links, and Mapping Class Groups, (1975).
[4]
  
Joan Birman and Tara Brendle, Braids: A Survey, Handbook of Knot Theory (2005).
http://arxiv.org/pdf/math/0409205
[5]
  
Jae Choon Cha, Ki Hyoung Ko, Sang Jin Lee, Jae Woo Han, and Jung Hee Cheon, An Efficient Implementation of Braid Groups, Advances in Cryptology (2001).
http://www.iacr.org/archive/asiacrypt2001/22480144.pdf
[6]
  
Charles O. Christenson and William L. Voxman (Bryan A. Smith, Editor), Aspects of Topology, Second Edition, (1998).
[7]
  
Francois Digne, Ivan Marin, and Jean Michel, The Center of Pure Complex Braid Groups, Journal of Algebra 374 no. 1 (2011).
http://www.sciencedirect.com/science/article/pii/S0021869311004145
[8]
  
David Garber, Braid Group Cryptography, Braids: Introductory Lectures on Braids, Configurations and Their Applications no. 19 (2010).
http://arxiv.org/pdf/0711.3941.pdf
[9]
  
Daniel Glasscock, What is a Braid Group?, (2012).
https://people.math.osu.edu/glasscock.4/braid_groups.pdf
[10]
  
Nicholas Jackson, Notes on Braid Groups, (2004).
[11]
  
Ki Hyoung Ko, Sang Jin Lee, Jung Hee Cheon, Jae Woo Han, Ju-sung Kang, and Choonsik Park, New Public-Key Cryptosystem Using Braid Groups, Advances in Cryptology (2000).
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.80.4420&rep=rep1&type=pdf
[12]
  
Eonkyung Lee and Je Hong Park, Cryptoanalysis of the Public-Key Encryption Based on Braid Groups, Advances in Cryptology (2003).
http://diyhpl.us/~bryan/papers2/security/advances-in-cryptology/Advances%20in%20Cryptology%20-%20EUROCRYPT%202003(LNCS2656,%20Springer,%202003)(ISBN%203540140395)(662s).pdf
[13]
  
Joshua Lieber, Introduction to Braid Groups, (2011).
http://www.math.uchicago.edu/~may/VIGRE/VIGRE2011/REUPapers/Lieber.pdf
[14]
  
Juan Gonzalez-Meneses, Basic Results on Braid Groups, Annales Mathematiques Blaise Pascal 18 no. 1 (2011).
http://archive.numdam.org/article/AMBP_2011__18_1_15_0.pdf