{"product_id":"9781860947728","title":"Recent Progress in Conformal Geometry","description":"\u003cp\u003eThis book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction.In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable.\u003c\/p\u003e","brand":"Imperial College Press","offers":[{"title":"Default Title","offer_id":47032998854896,"sku":"9781860947728","price":196.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781860947728_p0.jpg?v=1763600217","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781860947728","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}