A bound for the torsion in the -theory of algebraic integers.
A characterization of the finite wild sets of rational self-equivalences
A classical complex analyst encounters a post-modern mathematical object.
A classification theorem for nuclear purely infinite simple -algebras.
A complement to the theory of equivariant finiteness obstructions
It is known ([1], [2]) that a construction of equivariant finiteness obstructions leads to a family of elements of the groups . We prove that every family of elements of the groups can be realized as the family of equivariant finiteness obstructions of an appropriate finitely dominated G-complex X. As an application of this result we show the natural equivalence of the geometric construction of equivariant finiteness obstruction ([5], [6]) and equivariant generalization of Wall’s obstruction...
A counterexample to a conjecture of Barr.
A geometric algorithm for the output functional controllability in general manipulation systems and mechanisms
In this paper the control of robotic manipulation is investigated. Manipulation system analysis and control are approached in a general framework. The geometric aspect of manipulation system dynamics is strongly emphasized by using the well developed techniques of geometric multivariable control theory. The focus is on the (functional) control of the crucial outputs in robotic manipulation, namely the reachable internal forces and the rigid-body object motions. A geometric control procedure is outlined...
A geometric procedure for robust decoupling control of contact forces in robotic manipulation
This paper deals with the problem of controlling contact forces in robotic manipulators with general kinematics. The main focus is on control of grasping contact forces exerted on the manipulated object. A visco-elastic model for contacts is adopted. The robustness of the decoupling controller with respect to the uncertainties affecting system parameters is investigated. Sufficient conditions for the invariance of decoupling action under perturbations on the contact stiffness and damping parameters...
A Gersten–Witt spectral sequence for regular schemes
A Homotopy Theoretical Derivation of Q Map (K, -).
A K-theoretic relative index theorem and Callias-type Dirac operators.
A motivic Chebotarev density theorem.
A new algorithm for the Quillen-Suslin theorem.
A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).
The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
A note on product structures on Hochschild homology of schemes
We extend the definition of Hochschild and cyclic homologies of a scheme over a commutative ring k to define the Hochschild homologies HH⁎(X/S) and cyclic homologies HC⁎(X/S) of a scheme X with respect to an arbitrary base scheme S. Our main purpose is to study product structures on the Hochschild homology groups HH⁎(X/S). In particular, we show that carries the structure of a graded algebra.
A -adic regulator map and finiteness results for arithmetic schemes.
A Pieri-Chevalley formula in the K-theory of a -bundle.
A purity theorem for the Witt group
A reciprocity law for K2-traces.
A Riemann-Roch-Hirzebruch formula for traces of differential operators
Let be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology of the algebra of differential operators on a formal neighbourhood of a...