LEADER 03073nam 2200601 450 001 996466647803316 005 20220818195704.0 010 $a3-540-46125-6 024 7 $a10.1007/BFb0098406 035 $a(CKB)1000000000437438 035 $a(SSID)ssj0000327351 035 $a(PQKBManifestationID)12150799 035 $a(PQKBTitleCode)TC0000327351 035 $a(PQKBWorkID)10299529 035 $a(PQKB)10891537 035 $a(DE-He213)978-3-540-46125-8 035 $a(MiAaPQ)EBC5592417 035 $a(Au-PeEL)EBL5592417 035 $a(OCoLC)1066182613 035 $a(MiAaPQ)EBC6812189 035 $a(Au-PeEL)EBL6812189 035 $a(PPN)155193554 035 $a(EXLCZ)991000000000437438 100 $a20220818d1989 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aTraces of differential forms and Hochschildhomology /$fReinhold Hu?bl 205 $a1st ed. 1989. 210 1$aBerlin :$cSpringer-Verlag,$d[1989] 210 4$dİ1989 215 $a1 online resource (VI, 118 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v1368 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-50985-2 327 $aThe Hochschild homology and the Hochschild cohomology of a topological algebra -- Differential forms and Hochschild homology -- Traces in Hochschild homology -- Traces of Differential Forms -- Traces in complete intersections -- The topological residue homomorphism -- Trace formulas for residues of differential forms. 330 $aThis monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms. The approach uses Hochschild-homology, the definition of which is extended to the category of topological algebras. Many results for Hochschild-homology of commutative algebras also hold for Hochschild-homology of topological algebras. In particular, after introducing an appropriate notion of completion of differential algebras, one gets a natural transformation between differential forms and Hochschild-homology of topological algebras. Traces of differential forms are of interest to everyone working with duality theory and residue symbols. Hochschild-homology is a useful tool in many areas of k-theory. The treatment is fairly elementary and requires only little knowledge in commutative algebra and algebraic geometry. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1368. 606 $aDifferential forms 606 $aHomology theory 615 0$aDifferential forms. 615 0$aHomology theory. 676 $a515.37 700 $aHu?bl$b Reinhold$f1961-$058937 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466647803316 996 $aTraces of differential forms and Hochschildhomology$92906384 997 $aUNISA