## When Topology Meets Chemistry: A Topological Look at Molecular ChiralityThe applications of topological techniques for understanding molecular structures have become increasingly important over the past thirty years. In this topology text, the reader will learn about knot theory, 3-dimensional manifolds, and the topology of embedded graphs, while learning the role these play in understanding molecular structures. Most of the results that are described in the text are motivated by questions asked by chemists or molecular biologists, though the results themselves often go beyond answering the original question asked. There is no specific mathematical or chemical prerequisite; all the relevant background is provided. The text is enhanced by nearly 200 illustrations and more than 100 exercises. Reading this fascinating book, undergraduate mathematics students can escape the world of pure abstract theory and enter that of real molecules, while chemists and biologists will find simple, clear but rigorous definitions of mathematical concepts they handle intuitively in their work. |

### What people are saying - Write a review

User Review - Flag as inappropriate

Flapan's chirality analysis of bonded points nicely compliments Petitjean's quantitative analysis of the chirality of point distributions in space (e.g., QCM software). Flapan puts rigorous derivation to the intuitive concepts of chemical chirality and uncovers subtleties yet to be explored. It is a fascinating, abundantly illustrated text.

### Contents

I | xiii |

II | 5 |

III | 11 |

IV | 13 |

V | 17 |

VI | 19 |

VII | 23 |

VIII | 27 |

XXVIII | 126 |

XXIX | 132 |

XXX | 134 |

XXXI | 135 |

XXXII | 138 |

XXXIII | 142 |

XXXIV | 146 |

XXXV | 153 |

### Other editions - View all

When Topology Meets Chemistry: A Topological Look at Molecular Chirality Erica Flapan Limited preview - 2000 |

When Topology Meets Chemistry: A Topological Look at Molecular Chirality Erica Flapan No preview available - 2000 |

### Common terms and phrases

achiral in R3 ambient isotopic Arf invariant automorphism bond graph boundary cell complex chemically circle complete graph component contains define definition deformed denote disjoint DNA molecule edges embedded graph embedded in R3 embedding of G enzyme example figure eight knot finite-order homeomorphism gluing graph G half-twists helix axis Hence hexagons homeomorphism of R3 Hopf link illustrated in Figure induced intrinsically chiral intrinsically knotted invariant knot or link knots and links labeled graph Lemma link is topologically linking number mirror image molecular graph negative achiral obtain orbit of order orientation preserving orientation reversing orientation-preserving homeomorphism orientation-reversing homeomorphism oriented link P-polynomial pair planar plane polynomial prove rational tangle reduced alternating projection rotation Seifert surface side simple closed curve solid torus strands supercoiled Suppose surface symmetry presentation three-dimensional three-manifold topological rubber glove topological stereoisomers topologically chiral trefoil knot twist twofold branched cover unknot unoriented link writhe