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Hyperbolic Knot Theory
About this Title
Jessica S. Purcell, Monash University, Clayton, Victoria, Australia
Publication: Graduate Studies in Mathematics
Publication Year:
2020; Volume 209
ISBNs: 978-1-4704-5499-9 (print); 978-1-4704-6211-6 (online)
DOI: https://doi.org/10.1090/gsm/209
Table of Contents
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Front/Back Matter
Chapters
Foundations of hyperbolic structures
- Decomposition of the figure-8 knot
- Calculating in hyperbolic space
- Geometric structures on manifolds
- Hyperbolic structures and triangulations
- Discrete groups and the thick-thin decomposition
- Completion and Dehn filling
Tools, techniques, and families of examples
- Twist knots and augmented links
- Essential surfaces
- Volume and angle structures
- Two-bridge knots and links
- Alternating knots and links
- The geometry of embedded susrfaces
Hyperbolic knot invariants
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