{"product_id":"surgery-on-contact-3-manifolds-and-stein-surfaces-paperback","title":"Surgery on Contact 3-Manifolds and Stein Surfaces - Paperback","description":"\u003cp\u003eby \u003cb\u003eBurak Ozbagci\u003c\/b\u003e (Author), \u003cb\u003eAndrás Stipsicz\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe groundbreaking results of the near past - Donaldson's result on Lef- schetz pencils on symplectic manifolds and Giroux's correspondence be- tween contact structures and open book decompositions - brought a top- ological flavor to global symplectic and contact geometry. This topological aspect is strengthened by the existing results of Weinstein and Eliashberg (and Gompf in dimension 4) on handle attachment in the symplectic and Stein category, and by Giroux's theory of convex surfaces, enabling us to perform surgeries on contact 3-manifolds. The main objective of these notes is to provide a self-contained introduction to the theory of surgeries one can perform on contact 3-manifolds and Stein surfaces. We will adopt a very topological point of view based on handlebody theory, in particular, on Kirby calculus for 3- and 4-dimensionalmanifolds. Surgery is a constructive method by its very nature. Applying it in an intricate way one can see what can be done. These results are nicely com- plemented by the results relying on gauge theory - a theory designed to prove that certain things cannot be done. We will freely apply recent results of gauge theory without a detailed introduction to these topics; we will be content with a short introduction to some forms of Seiberg-Witten theory and some discussions regarding Heegaard Floer theory in two Appendices.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eSurgery is the most effective way of constructing manifolds. This is\u003cbr\u003eespecially true in dimensions 3 and 4, where Kirby calculus provides a\u003cbr\u003emethod for manipulating surgery diagrams. The groundbreaking results\u003cbr\u003eof Donaldson (on Lefschetz fibrations) and Giroux (on open book\u003cbr\u003edecompositions) now allow one to incorporate analytic\u003cbr\u003estructures into these diagrams: symplectic or Stein structures\u003cbr\u003ein the 4-dimensional case, contact structures in the 3-dimensional\u003cbr\u003esituation. This volume gives an introduction to the\u003cbr\u003esurgery techniques adapted to these additional structures.\u003cbr\u003eThe necessary topological background on Lefschetz fibrations and open\u003cbr\u003ebook decompositions is developed in the book. Also included are\u003cbr\u003erapid introductions to the basics and applications of\u003cbr\u003eSeiberg--Witten and Heegaard Floer theories.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 282\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 9.21 x 6.14 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 06, 2010\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":53230450442603,"sku":"9783642061844","price":226.78,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0978\/8401\/2907\/files\/592599fc5303dd8a475e08ca0b132030.webp?v=1778794908","url":"https:\/\/fraulick.com\/products\/surgery-on-contact-3-manifolds-and-stein-surfaces-paperback","provider":"frauLick.com","version":"1.0","type":"link"}