Weighted cohomology

DOI10.1007/BF01231560zbMath0849.11047OpenAlexW4238737044WikidataQ56679323 ScholiaQ56679323MaRDI QIDQ1320047

Mark Goresky, Robert MacPherson, Günter Harder

Publication date: 12 November 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144187

zbMATH Keywords

Hecke correspondenceLefschetz numberfixed point formulaarithmetic groupreductive Borel-Serre compactificationintersection cohomology groupstopological trace formulaweight profileweighted cohomology groups

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Cohomology of arithmetic groups (11F75) Intersection homology and cohomology in algebraic topology (55N33)

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Geometry of compactifications of locally symmetric spaces, On polyhedral retracts and compactifications of locally symmetric spaces, Local constancy of dimension of slope subspaces of automorphic forms, The large scale topology and algebraic \(K\)-theory of arithmetic groups, A generalization of combinatorial identities for stable discrete series constants, Discrete series characters and the Lefschetz formula for Hecke operators, The intersection cohomology of the Satake compactification of \(\mathcal {A}_g\) for \(g \leq 4\), AUTOMORPHIC LEFSCHETZ PROPERTIES FOR NONCOMPACT ARITHMETIC MANIFOLDS, Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety, Complexes pondérés sur les compactifications de Baily-Borel: Le cas des variétés de Siegel, Motivic weightless complex and the relative Artin motive, \(L^{2}\)-invariants of nonuniform lattices in semisimple Lie groups, On the image of complex conjugation in certain Galois representations, Cohomologie d’intersection des variétés modulaires de Siegel, suite, Boundary behaviour of special cohomology classes arising from the Weil representation, A twisted topological trace formula for Hecke operators and liftings from symplectic to general linear groups, Koszul duality for toric varieties, METRIC COMPACTIFICATIONS OF LOCALLY SYMMETRIC SPACES, A Topological Realization of the Congruence Subgroup Kernel, Eisenstein series and cohomology of arithmetic groups: The generic case

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