Braid It

Stylish and edgy braids, up-dos, twists, knots, and more for long and short hair There's no denying it, braids are back; from 90s icons such as Gwen Stefani and TLC to Aaliyah this retro hairstyle is once again cool. Featuring over 25 intricate hair-braid designs from the classic French plait to the more elaborate halo fishtail or even a Mohican style twist, Braid It! is your guide to the most cutting-edge hairstyles around. Perfect for any occasion, from festivals to weddings, parties or even the office, braids are an easy and stylish way to glam up any outfit. In their step-by-step tutorials, Jessy and Taiba share industry tips and tricks and ways to adorn your hair with accessories like clips, ribbons and jewels as well as other temporary styling tools such as colored hair extensions and glitter. More than just a braid book, Braid It! is a celebration of heritage, youth culture, and Girl Power.

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.

Braid theory and knot theory are related via two famous results due to Alexander and Markov. Alexander's theorem states that any knot or link can be put into braid form. Markov's theorem gives necessary and sufficient conditions to conclude that two braids represent the same knot or link. Thus, one can use braid theory to study knot theory and vice versa. In this book, the author generalizes braid theory to dimension four. He develops the theory of surface braids and applies it tostudy surface links. In particular, the generalized Alexander and Markov theorems in dimension four are given. This book is the first to contain a complete proof of the generalized Markov theorem. Surface links are studied via the motion picture method, and some important techniques of this method arestudied. For surface braids, various methods to describe them are introduced and developed: the motion picture method, the chart description, the braid monodromy, and the braid system. These tools are fundamental to understanding and computing invariants of surface braids and surface links. Included is a table of knotted surfaces with a computation of Alexander polynomials. Braid techniques are extended to represent link homotopy classes. The book is geared toward a wide audience, from graduatestudents to specialists. It would make a suitable text for a graduate course and a valuable resource for researchers.

In the present treatise progress in topological approach to Hall system physics is reported, including recent achievements in graphene. The new homotopy methods of cyclotron braid subgroups, originally introduced by the authors, turn out to be of particular convenience in order to grasp peculiarity of 2D charged systems upon magnetic field resulting in fractional Hall states. The identified cyclotron braids allow for natural recovery of Laughlin correlations from the first principles, without invoking any artificial constructions as composite fermions with flux tubes or vortices. Progress in understanding of the structure and role of composite fermions in Hall system is provided, which can also lead to some corrections of numerical results in energy minimization made within the traditional formulation of the composite fermion model. The crucial significance of carrier mobility, apart from interaction in creation of the fractional quantum Hall effect (FQHE), is described and supported by recent graphene experiments. Recent advancement in the FQHE field including topological insulators and optical lattices is reviewed and commented upon in terms of the braid group approach. The braid group methods are presented from a more general point of view including proposition of pure braid group application. Book jacket.

Having tried and failed to braid her 8-year-old daughter's hair into an intricate fishtail plait, Sarah Hiscox had to admit she had no idea what she was doing. When she realised a trip to the hairdressers was both expensive and time consuming, Sarah decided to fill a gap in the market and she started a pop-up braid bar with family friend Willa Burton. Now you can learn to style intricate braids in your own hair with The Braid Bar book, featuring designs from a plaited halo and elaborate fishtail to an intricate Mohican style braid. Sarah and Willa also share how to adorn your hair with accessories like clips, pompoms and bands as well as other temporary styling tools such as hair chalk and glitter. Secret tips, tricks and advice onlooking after your braids, as well as answers to frequently asked questions, ensures you can immerse yourself in the latest hair trend. 'All the girls look so cool when they come out of The Braid Bar.' Kate Moss

Roommates--Petula, Rachel and Lisa-- are as different as North, South and West in the matters of everything from religion to hair. The battle that ensues in their dorm room, as well as, in their young minds, is a mix of Petula's Southern roots, that have never spread beyond her native Charleston or the black history that she is tired of hearing about from her storytelling father; Rachel's matter-of-fact attitude that says her god is her Native American culture of which her very strong-willed father is the dictator who no one, including her, can cross. Then there is Lisa who is rich, spoiled and self-absorbed, putting Petula and Rachel out to cook as she seeks to prove that Northern wealth and culture is the only god that should matter to anyone. But, what becomes of three men that happen into their lives influenced by a god neither of them know anything about? Oneness is the goal if only these three girls would put their hearts and heads together to conform Southern kinks behavior, Native American bone straight ideals and the chemically relaxed thoughts of Northern suburban influence, of one who denies her roots, into to one "braid" that has to honor One, and only One. Whose god will win?