منابع مشابه
Hochschild Homology and Global Dimension
We prove that for certain classes of graded algebras (Koszul, local, cellular), infinite global dimension implies that Hochschild homology does not vanish in high degrees, provided the characteristic of the ground field is zero. Our proof uses Igusa’s formula relating the Euler characteristic of relative cyclic homology to the graded Cartan determinant.
متن کامل2 00 4 Hochschild ( co ) homology dimension ∗
In 1989 Happel conjectured that for a finite-dimensional algebra A over an algebraically closed field k, gl.dim.A < ∞ if and only if hch.dim.A < ∞. Recently Buchweitz-Green-Madsen-Solberg gave a counterexample to Happel’s conjecture. They found a family of pathological algebra Aq for which gl.dim.Aq = ∞ but hch.dim.Aq = 2. These algebras are pathological in many aspects, however their Hochschil...
متن کاملSymplectic Homology as Hochschild Homology
In the wake of Donaldson’s pioneering work [6], Picard-Lefschetz theory has been extended from its original context in algebraic geometry to (a very large class of) symplectic manifolds. Informally speaking, one can view the theory as analogous to Kirby calculus: one of its basic insights is that one can give a (non-unique) presentation of a symplectic manifold, in terms of a symplectic hypersu...
متن کاملHarrison Homology, Hochschild Homology and Triples*l
We consider the following situation: a field k, a commutative k-algebra R and a left R-module M. Since R is commutative, M may also be considered as an R-R bimodule with the same operation on each side (such modules are often termed symmetric). With these assumptions we have the Harrison (co-) homology groups Harr,(R, M) (Harr*(R, M)), the Hochschild (co-) homology groups Hoch, (R, M) (Hoch*(R,...
متن کاملFiltered Topological Hochschild Homology
In this paper we examine a certain filtration on topological Hochschild homology. This filtration has the virtue that it respects the cyclic structure of topological Hochschild homology, and therefore it is compatible with the cyclotomic structure used to define topological cyclic homology. As an example we show how the skeleton filtration of a simplicial ring gives rise to spectral sequences s...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2009
ISSN: 0024-6093
DOI: 10.1112/blms/bdp018