Cheeger-goresky-macpherson conjecture
WebNov 4, 2024 · This approach allows us to prove the MacPherson’s conjecture of twisted coefficient bundle endowed with a singular hermitian metric. As applications, we study … Webby Mark Goresky and Robert MacPherson. It was an unexpected find, but one highly suited to the study of singular spaces, and it has yielded profound results. Most notably, the Kazhdan–Lusztig conjecture was established via a remarkable bridge between representation theory and intersection homology theory provided by D-module theory.
Cheeger-goresky-macpherson conjecture
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Webby Mark Goresky and Robert MacPherson. It was an unexpected find, but one highly suited to the study of singular spaces, and it has yielded profound results. Most notably, … Webit was shown in celebrated work of Cheeger [4] and Muller [20] that ˝(M; ) equals the so called analytic torsion (Ray-Singer conjecture). The intersection R-torsion is de ned for pseudomanifolds by Dar [12] using the intersection homology theory of Goresky-MacPherson. We recall the basic facts of Intersection Homology Theory.
WebNov 24, 2024 · tothefamousCheeger–Goresky–Macphersonconjecture. Roughlyspeaking,stratifiedpseu- domanifoldsaresome“almost”smoothspaceswithcone-likesingularities. Thesespaces... WebCheeger-Goresky-MacPherson’s conjectural isomorphism between the L2-cohomology and ... implies MacPherson’s conjecture and its further generalizations. The main result is Theorem 1.3 (=Theorem 3.1). Let X be a complex analytic space of pure dimension n and ds2 be a hermitian metric on a dense Zariski open subset Xo ⊂ X
WebJan 5, 1990 · Without any goal of completeness we can recall here [21] and [26] which concern the Cheeger-Goresky-MacPherson's conjecture, [10], [17], [29], [30], [31] and [36] devoted to the L 2 -∂ ... WebCheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities. Takeo Ohsawa. Mathematische Zeitschrift (1991) Volume: 206, Issue: 2, page 219-224; …
WebIn the unweighted case, this is closely related to recent work of Cheeger and Dai [5]. Because the metric g is incomplete, this requires a consideration of the various choices …
Webin the conjecture of Cheeger, Goresky and MacPherson was motivated in large parts by the hope that one could then use the natural isomorphism and a Hodge decomposition for Hk (2) (Z) to put a pure Hodge structure on the intersection cohomology of Z(cf. [CGM]). That was in fact done by Pardon and Stern in the ugears top fuel dragster assemblyWebApr 1, 2024 · The conjecture asserts the equality of topological and Hodge L-class for compact complex algebraic rational homology manifolds. ... We deduce from this that the Cheeger-Goresky-MacPherson L-class ... thomas hammer gift card check balancehttp://www2.math.uni-wuppertal.de/~ruppenth/talks/poster_fribourg15062008.pdf thomas hammer coffee pullmanWebThe Cheeger-Goresky-MacPherson Conjecture L2-Spaces In the following, let Y be a complex projective variety Y ˆCPN, or a Stein space Y ˆCN. Then, let Y be theregular partof Y, and let Y carry the (incomplete) metric induced by the embedding of Y into the ambient space, namely the restriction of the Fubini-Study metric thomas hammermann kamenzWebJan 1, 2015 · We refer here to the solution of the Cheeger-Goresky-MacPherson conjecture for varieties with isolated singularities by Ohsawa (see for more details). 2. A Hermitian ... Cheeger, J., Goresky, M., MacPherson, R.: \(L^2\)-Cohomology and Intersection Homology of Singular Algebraic Varieties. Annals of Mathematics Studies, … thomas hammer coffee spokane waWebin the conjecture of Cheeger, Goresky and MacPherson was motivated in large parts by the hope that one could then use the natural isomorphism and a Hodge decomposition … thomas hammer grand blvdWebAs an application, we give a differential geometrical proof of the Kähler package of the hypercohomology of pure Hodge modules. We also prove the Kähler version of … thomas hammermeister