{"product_id":"an-introduction-to-contact-topology-hardback-9780521865852","title":"An Introduction to Contact Topology (Hardback) 9780521865852","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to Contact Topology\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis self-contained text is an introduction to contact topology. Ideal for graduate courses on contact geometry, and as a reference for researchers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHansjörg Geiges (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521865852, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 13 March 2008\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e458 pages, 85 b\/w illus.\u003cbr\u003e23.1 x 16 x 3.6 cm, 0.77 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… a fundamental monograph … can be strongly recommended for graduate students and is indispensable for specialists in the field.' EMS Newsletter\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eForeword\u003cbr\u003e 1. Facets of Contact Geometry\u003cbr\u003e 2. Contact Manifolds\u003cbr\u003e 3. Knots in Contact 3-Manifolds\u003cbr\u003e 4. Contact Structures on 3-Manifolds\u003cbr\u003e 5. Symplectic Fillings and Convexity\u003cbr\u003e 6. Contact Surgery\u003cbr\u003e 7. Further Constructions of Contact Manifolds\u003cbr\u003e 8. Contact Structures on 5-Manifolds\u003cbr\u003e Appendix A. The generalised Poincaré lemma\u003cbr\u003e Appendix B. Time-dependent vector fields\u003cbr\u003e References\u003cbr\u003e Notation Index\u003cbr\u003e Author Index\u003cbr\u003e Subject Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Topology [\u003ca title=\"See our other books on Topology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Topology%20%5BPBP%5D%22\"\u003ePBP\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46004411334936,"sku":"9780521865852","price":87.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521865852i_967dbc80-992a-4009-ba80-395e065b6389.jpg?v=1691358610","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-introduction-to-contact-topology-hardback-9780521865852","provider":"Freshly Printed Books","version":"1.0","type":"link"}