代数配边理论（英文版） 出版时间：2013年版 内容简介 《代数配边理论（英文版）》是一部很难得的介绍代数配边理论的专著，内容精炼简短。《代数配边理论（英文版）》在讲述了quillen复配边方法后，接着在固定域的光滑变量范畴上引进有向上同调理论的观点，证明了这样一个理论范的存在性叫做代数配边。书中也包括了一些计算和应用案例。 目录 1 cobordism and oriented cohomology 1.1 oriented cohomology theories 1.2 algebraic cobordism 1.3 relations with complex cobordism 2 the definition of algebraic cobordism 2.1 oriented borel-moore functors 2.2 oriented functors of geometric type 2.3 some elementary properties 2.4 the construction of algebraic cobordism 2.5 some computations in algebraic cobordism 3 fundamental properties of algebraic cobordism 3.1 divisor classes 3.2 localization 3.3 transversality 3.4 homotopy invariance 3.5 the projective bundle formula 3.6 the extended homotopy property 4 algebraic cobordism and the lazard ring 4.1 weak homology and chern classes 4.2 algebraic cobordism and k-theory 4.3 the cobordism ring of a point 4.4 degree formulas 4.5 comparison with the chow groups 5 oriented borel-moore homology 5.1 oriented borel-moore homology theories 5.2 other oriented theories
