《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。
1cobordismandorientedcohomology
1.1orientedcohomologytheories
1.2algebraiccobordism
1.3relationswithcomplexcobordism
2thedefinitionofalgebraiccobordism
2.1orientedborel-moorefunctors
2.2orientedfunctorsofgeometrictype
2.3someelementaryproperties
2.4theconstructionofalgebraiccobordism
2.5somecomputationsinalgebraiccobordism
3fundamentalpropertiesofalgebraiccobordism
3.1divisorclasses
3.2localization
3.3transversality
3.4homotopyinvariance
3.5theprojectivebundleformula
3.6theextendedhomotopyproperty
4algebraiccobordismandthelazardring
4.1weakhomologyandchernclasses
4.2algebraiccobordismandk-theory
4.3thecobordismringofapoint
4.4degreeformulas
4.5comparisonwiththechowgroups
5orientedborel-moorehomology
5.1orientedborel-moorehomologytheories
5.2otherorientedtheories
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