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Knots, Molecules, and the Universe: An Introduction to Topology
About this Title
Erica Flapan, Pomona College, Claremont, CA
Publication: AMS Non-Series Monographs
Publication Year:
2016; Volume 96
ISBNs: 978-1-4704-2535-7 (print); 978-1-4704-2819-8 (online)
DOI: https://doi.org/10.1090/mbk/096
MathSciNet review: MR3443369
MSC: Primary 57M50; Secondary 57-02, 57M25, 57M27, 92D20, 92E10, 94A08
Table of Contents
Front/Back Matter
Part 1. Universes
- Chapter 1. An introduction to the shape of the universe
- Chapter 2. Visualizing four dimensions
- Chapter 3. Geometry and topology of different universes
- Chapter 4. Orientability
- Chapter 5. Flat manifolds
- Chapter 6. Connected sums of spaces
- Chapter 7. Products of spaces
- Chapter 8. Geometries of surfaces
Part 2. Knots
- Chapter 9. Introduction to knot theory
- Chapter 10. Invariants of knots and links
- Chapter 11. Knot polynomials
Part 3. Molecules
- Chapter 12. Mirror image symmetry from different viewpoints
- Chapter 13. Techniques to prove topological chirality
- Chapter 14. The topology and geometry of DNA
- Chapter 15. The topology of proteins