{"product_id":"lie-methods-in-deformation-theory-von-marco-manetti","title":"Lie Methods in Deformation Theory","description":"This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory. We believe it is the first textbook devoted to this subject, although the first chapters are also covered in other sources with a different perspective.\u003cbr\u003eDeformation theory is an important subject in algebra and algebraic geometry, with an origin that dates back to Kodaira, Spencer, Kuranishi, Gerstenhaber, and Grothendieck. In the last 30 years, a new approach, based on ideas from rational homotopy theory, has made it possible not only to solve long-standing open problems, but also to clarify the general theory and to relate apparently different features. This approach works over a field of characteristic 0, and the central role is played by the notions of differential graded Lie algebra,  L-infinity algebra, and Maurer–Cartan equations.\u003cbr\u003eThe book is written keeping in mind graduate students with a basic knowledge of homological algebra and complex algebraic geometry as utilized, for instance, in the book by K. Kodaira, \u003ci\u003eComplex Manifolds and Deformation of Complex Structures\u003c\/i\u003e. Although the main applications in this book concern deformation theory of complex manifolds, vector bundles, and holomorphic maps, the underlying algebraic theory also applies to a wider class of deformation problems, and it is a prerequisite for anyone interested in derived deformation theory. \u003cbr\u003eResearchers in algebra, algebraic geometry, algebraic topology, deformation theory,  and noncommutative geometry are the major targets for the book. \u003cbr\u003e\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789811911873\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789811911842\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9789811911873","offer_id":46951076069701,"sku":"9789811911873","price":160.49,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9789811911842","offer_id":40397328121949,"sku":"9789811911842","price":160.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/7b88250e-3eb9-49ac-bed1-9430fd34eb93.jpg?v=1772263171","url":"https:\/\/shop.autorenwelt.de\/en\/products\/lie-methods-in-deformation-theory-von-marco-manetti","provider":"Autorenwelt Shop","version":"1.0","type":"link"}