K-Theory, Arithmetic and Geometry: Seminar, Moscow University, 1984-1986
Yurij I. Manin
Springer Berlin Heidelberg, Nov 4, 1987 - Mathematics - 404 pages
This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras.
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A A BEILINSON
A A BEILINSON
How to glue perverse sheaves
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abelian acyclic additive K-functors adjoint algebraic K-theory arbitrary arrow assume Beilinson BGL(A bicomplex canonical chain complex char coalgebra coefficients cohomology commutative comultiplication conjecture Consider construction Corollary corresponding cosimplicial cycles cyclic homology defined definition denote derived category derived functors differential graded algebra differential operators elements equal equivalent exact functor exact sequence filtration finite formula free resolution gebra GL(A graded space height pairing Hochschild homology holim homology groups homomorphism homotopy Horn implies induced integral invariant isomorphism k-algebra k-modules Koszul algebras Lemma Let f Lie algebra Math matrices module morphism multiplication noncommutative residue notation Note object obtain operad phism polynomial projective Proof Proposition quasi-isomorphism Quillen resp Rham ring sheaf sheaves simplicial set spectral sequence structure subcategory subcomplex symbol tensor Theorem theory topological vector Young diagrams zero