{"product_id":"lectures-on-the-topology-of-3-manifolds-an-introduction-to-the-casson-invariant-hardcover","title":"Lectures on the Topology of 3-Manifolds: An Introduction to the Casson Invariant - Hardcover","description":"\u003cp\u003eby \u003cb\u003eNikolai Saveliev\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eProgress in low-dimensional topology has been very quick in the last three decades, leading to the solutions of many difficult problems. Among the earlier highlights of this period was Casson's λ-invariant that was instrumental in proving the vanishing of the Rohlin invariant of homotopy 3-spheres. The proof of the three-dimensional Poincar  conjecture has rendered this application moot but hardly made Casson's contribution less relevant: in fact, a lot of modern day topology, including a multitude of Floer homology theories, can be traced back to his λ-invariant.\u003c\/p\u003e \u003cp\u003eThe principal goal of this book, now in its second revised edition, remains providing an introduction to the low-dimensional topology and Casson's theory; it also reaches out, when appropriate, to more recent research topics. The book covers some classical material, such as Heegaard splittings, Dehn surgery, and invariants of knots and links. It then proceeds through the Kirby calculus and Rohlin's theorem to Casson's invariant and its applications, and concludes with a brief overview of recent developments.\u003c\/p\u003e \u003cp\u003eThe book will be accessible to graduate students in mathematics and theoretical physics familiar with some elementary algebraic and differential topology, including the fundamental group, basic homology theory, transversality, and Poincar  duality on manifolds.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eNikolai Saveliev\u003c\/strong\u003e, University of Miami, Florida, USA.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 218\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.5 x 9.3 x 6.7 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 19, 2011\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":51825707516192,"sku":"9783110250350","price":60.48,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/9764\/5344\/files\/c7631a249b0069a0aef12e463be5c3ac.webp?v=1781239752","url":"https:\/\/ebocreations.com\/products\/lectures-on-the-topology-of-3-manifolds-an-introduction-to-the-casson-invariant-hardcover","provider":"The E-Book Oasis LLC","version":"1.0","type":"link"}