{"product_id":"scissors-congruences-group-homology-and-characteristic-classes-9789810245085","title":"Scissors Congruences, Group Homology and Characteristic Classes","description":"\u003cp\u003e • Author(s): Johan L. DuPont | Weiping Zhang\u003cbr\u003e • Publisher: World Scientific Publishing Company\u003cbr\u003e • Publisher Imprint: World Scientific Publishing Company\u003cbr\u003e • BISAC: Geometry - Analytic\u003c\/p\u003e\u003cp\u003eThese lecture notes are based on a series of lectures given at the Nankai Institute of Mathematics in the fall of 1998. They provide an overview of the work of the author and the late Chih-Han Sah on various aspects of Hilbert's Third Problem: Are two Euclidean polyhedra with the same volume \"scissors-congruent\", i.e. can they be subdivided into finitely many pairwise congruent pieces? The book starts from the classical solution of this problem by M Dehn. But generalization to higher dimensions and other geometries quickly leads to a great variety of mathematical topics, such as homology of groups, algebraic K-theory, characteristic classes for flat bundles, and invariants for hyperbolic manifolds. Some of the material, particularly in the chapters on projective configurations, is published here for the first time.\u003c\/p\u003e","brand":"World Scientific Publishing Company","offers":[{"title":"Paperback","offer_id":47892332642455,"sku":"9789810245085","price":6143.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789810245085.webp?v=1781186514","url":"https:\/\/atlanticbooks.com\/products\/scissors-congruences-group-homology-and-characteristic-classes-9789810245085","provider":"Atlantic Books","version":"1.0","type":"link"}