From the reviews: "A relationship between the geometry of knot complements and the colored Jones polynomial is given in this monograph. The writing is well organized and comprehensive, and the book is accessible to both researchers and graduate students with some background in geometric topology and Jones-type invariants." (Heather A. Dye, Mathematical Reviews, January, 2014)

• 1 Introduction.- 2 Decomposition into 3–balls.- 3 Ideal Polyhedra.- 4 I–bundles and essential product disks.- 5 Guts and fibers.- 6 Recognizing essential product disks.- 7 Diagrams without non-prime arcs.- 8 Montesinos links.- 9 Applications.- 10 Discussion and questions.

From the reviews: "A relationship between the geometry of knot complements and the colored Jones polynomial is given in this monograph. The writing is well organized and comprehensive, and the book is accessible to both researchers and graduate students with some background in geometric topology and Jones-type invariants." (Heather A. Dye, Mathematical Reviews, January, 2014)

• 1 Introduction.- 2 Decomposition into 3–balls.- 3 Ideal Polyhedra.- 4 I–bundles and essential product disks.- 5 Guts and fibers.- 6 Recognizing essential product disks.- 7 Diagrams without non-prime arcs.- 8 Montesinos links.- 9 Applications.- 10 Discussion and questions.

From the reviews: "A relationship between the geometry of knot complements and the colored Jones polynomial is given in this monograph. The writing is well organized and comprehensive, and the book is accessible to both researchers and graduate students with some background in geometric topology and Jones-type invariants." (Heather A. Dye, Mathematical Reviews, January, 2014)

• 1 Introduction.- 2 Decomposition into 3–balls.- 3 Ideal Polyhedra.- 4 I–bundles and essential product disks.- 5 Guts and fibers.- 6 Recognizing essential product disks.- 7 Diagrams without non-prime arcs.- 8 Montesinos links.- 9 Applications.- 10 Discussion and questions.