This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants.
Pay easily by card, Klarna, Apple Pay or Google Pay. Not happy? You always have a 14-day money-back guarantee. Read more in our terms. If you have any questions, email us at hello@memmo.org.
Memmo makes studying easier – wherever you are in the world. We bring your course books and smart study tools together in one place: summaries, quizzes, podcasts and flashcards. Plus Ted, your study buddy who answers anything you wonder. Over 75,000 students already study here – built to help you learn faster and stress less.
You might also like
Buy the book0