14.Introduction
14.1The manifold of triangulations
15.2A group homomorphism from PBn to
15.3A group homomorphism from PBn to
15.5Lines moving on the plane and the group
15.5.1A map from a group of good moving lines to
15.5.2A map from a group of good moving lines to
15.5.3A map from a group of good moving unit circles to
15.6A representation of braids via triangulations
16.1The group
16.2The general strategy of defining
Unsolved Problems
17.1The groups
17.1.1Algebraic problems
17.4.1Cobordism genera
17.5.1Picture-valued solutions of the Yang–Baxter equations
17.5.2Picture-valued classical knot invariants
17.5.3Categorification of polynomial invariants
17.7.1Parity for surface knots
17.8.1Knots in Sg × S1
17.8.3Degree of knots in Sg × S1
Chapter 1
Groups. Small Cancellations. Greendlinger Theorem
In the present chapter we discuss certain basic notions of combinatorial group theory. In particular, we recall the notion of small cancellation conditions for groups and study the diagrammatic method of describing such groups.
In
