I'm looking for books that talk about braid theory, in the sense of braid groups mostly, and not too advanced, if possible. With material understandable for an undergraduate. Thanks for any suggestions.
2026-03-25 14:00:31.1774447231
Books about braid theory
1.2k Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
2
There are 2 best solutions below
Related Questions in GROUP-THEORY
- What is the intersection of the vertices of a face of a simplicial complex?
- Group with order $pq$ has subgroups of order $p$ and $q$
- How to construct a group whose "size" grows between polynomially and exponentially.
- Conjugacy class formula
- $G$ abelian when $Z(G)$ is a proper subset of $G$?
- A group of order 189 is not simple
- Minimal dimension needed for linearization of group action
- For a $G$ a finite subgroup of $\mathbb{GL}_2(\mathbb{R})$ of rank $3$, show that $f^2 = \textrm{Id}$ for all $f \in G$
- subgroups that contain a normal subgroup is also normal
- Could anyone give an **example** that a problem that can be solved by creating a new group?
Related Questions in REFERENCE-REQUEST
- Best book to study Lie group theory
- Alternative definition for characteristic foliation of a surface
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Random variables in integrals, how to analyze?
- Abstract Algebra Preparation
- Definition of matrix valued smooth function
- CLT for Martingales
- Almost locality of cubic spline interpolation
- Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers
- property of Lebesgue measure involving small intervals
Related Questions in BOOK-RECOMMENDATION
- Books recommendations for a second lecture in functional analysis
- Book/Online Video Lectures/Notes Recommendation for Analysis(topics mentioned)
- Are there any analysis textbooks like Charles Pinter's A book of abstract algebra?
- Calculus book suggestion
- How to use the AOPS books?
- What are good books cover these topics?
- Book Recommendation: Introduction to probability theory (including stochastic processes)
- calculus of variations with double integral textbook?
- Probability that two random numbers have a Sørensen-Dice coefficient over a given threshold
- Algebraic geometry and algebraic topology used in string theory
Related Questions in KNOT-THEORY
- Is unknot a composite knot?
- Can we modify one component of a link and keep the others unchanged
- Can we split a splittable link by applying Reidemeister moves to non-self crossings only
- Involution of the 3 and 4-holed torus and its effects on some knots and links
- Equivalence polygonal knots with smooth knots
- Can a knot diagram be recovered from this data?
- Does Seifert's algorithm produce Seifert surfaces with minimal genus?
- Equivalence of links in $R^3$ or $S^3$
- Homotopy type of knot complements
- The complement of a knot is aspherical
Related Questions in BRAID-GROUPS
- Proof of a relation of Braid groups
- Regular covering corresponding to a kernel
- Explicit Formula for Cabling of Braids
- Is there a name for the family of knots beginning with $6_3$, $8_7$, and $10_5$?
- How to use string operations on braid groups in MAGMA
- Show the abelianization of braid broup $B_n$,$n\geq 2$ is isomorphic to $\mathbb{Z}$
- Why do different representations of "braid groups" give seemingly opposite results?
- How many generators do a 4-strands braid group have?
- $\mathbb{C}^2 \otimes \mathbb{C}^2 \otimes \mathbb{C}^2$ representation of $B_3$ braid group
- Are Braid groups linear as modules or as Vector spaces?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
The only general purpose textbook that I know of is:
I think it's the standard reference today. It's good, but it's not the funniest book in the world.
A nice collection of survey articles is
I haven't read all of these articles in detail, but Rolfsen's "Tutorial" is nice and I liked Cohen's and Ghrist's articles a lot (but YMMV).
After that, it really depends on what you're interested in. Braid groups are really versatile, and different people study them with different tools and from different cultures (that's probally the most exciting thing about them). A quite easy book on the links with Knot Theory is
but, really, any textbook on Knot Theory worth its price will talk about braids at some point.
If you are interested in more combinatorial/algebraic things around the left-ordering of the braid groups, I strongly recommend
Even if the left order on the braid groups isn't what excites me the most about them, I remember enjoying the beginning of this book quite a lot. Dehornoy is really a superb writer. He also wrote a number of survey articles (available on his webpage) and one of them,
is also a great place to learn things about braids.
If you understand French, there are also a bunch of videos on the same theme on this webpage.
The most accessible references in this list are probably the Prasolov-Sossinsky book and the Dehornoy notes. They are interested in quite different aspects of the theory so you could (should?) try to read both.
The other references are probably a bit too advanced to be read by an undergraduate from cover to cover, but I'm sure you could get some perspective by trying anyway.