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008 121227s1989 gw | s |||| 0|eng d
020 _a9783540461258
_9978-3-540-46125-8
024 7 _a10.1007/BFb0098406
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
072 7 _aPBMW
_2thema
082 0 4 _a516.35
_223
100 1 _aHübl, Reinhold.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aTraces of Differential Forms and Hochschild Homology
_h[electronic resource] /
_cby Reinhold Hübl.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1989.
300 _aVI, 118 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1368
505 0 _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.
520 _aThis monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms.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.
650 0 _aGeometry, algebraic.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662198612
776 0 8 _iPrinted edition:
_z9783540509851
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1368
856 4 0 _uhttps://doi.org/10.1007/BFb0098406
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11937
_d11937