《代數(shù)配邊理論（英文版）》是一部很難得的介紹代數(shù)配邊理論的專著，內(nèi)容精煉簡短。《代數(shù)配邊理論（英文版）》在講述了quillen復(fù)配邊方法后，接著在固定域的光滑變量范疇上引進(jìn)有向上同調(diào)理論的觀點(diǎn)，證明了這樣一個理論范的存在性叫做代數(shù)配邊。書中也包括了一些計算和應(yīng)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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