On the Back Cover
Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications.
About the Author
Marc H. Levine, Ph.D., CPA, is professor of accounting, Queens College of the City University of New York, and a financial accounting and auditing consultant. He was previously associated with Deloitte and Touche, CPAs. He has written five books, including the WG&I AUDIT MANUAL (Warren, Gorham, and Lamont) and GAAP 2004, HANDBOOK OF POLICIES AND PROCEDURES (Aspen Publishers), and more than 50 articles on auditing and financial accounting topics. His articles have been published in The CPA Journal, Journal of Corporate Accounting and Finance, Practical Accountant, National Public Accountant, Massachusetts CPA Review, Cost and Management, and Management Accountant, among others.
