Braid Foliations in Low–Dimensional Topology Lafountain Menasco Hardback

Braid Foliations in Low–Dimensional Topology Lafountain Menasco Hardback

Braid Foliations in Low-Dimensional TopologyAuthor(s): Douglas J. LaFountain, William W. Menasco\nFormat: Hardback\nPublisher: American Mathematical Society, United States\nImprint: American Mathematical Society\nISBN-13: 9781470436605, 978-1470436605\nSynopsis\nThis book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds. With style and content accessible to beginning students interested in geometric topology, each chapter centers around a key theorem or theorems. The particular braid foliation techniques needed to prove these theorems are introduced in parallel, so that the reader has an immediate \""take-home\"" for the techniques involved.\n\nThe reader will learn that braid foliations provide a flexible toolbox capable of proving classical results such as Markov's theorem for closed braids and the transverse Markov theorem for transverse l.

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