Dept. of Mathematics College of Science and Medical studies at Malaz King Saud University, P.O. Box 22452 Riyadh 11495, Saudi Arabia. e-mail: fazmi@ksu.edu.saA bivariant Chern - Connes character is used, by incorporating the JLO formula and Bismut's superconnection formalism, to compute the local cyclic cycle formula for families of Dirac operator D acting on a fibre bundle M over B. The fundamental techniques used are, the rescaling of Bismut's superconnection and the canonical order calculus
For a family of Dirac operators, acting on Hermitian Clifford modules over the odd-dimensional compa...
Este trabalho busca explorar a definição dada por Connes em [Con01] do caráter de Chern para a geome...
Dedicated to our friend Krzysztof Wojciechowski We define Chern-Weil forms ck ( IA) associated to a ...
AbstractThis is Part II of a work in which we establish a formula for the Chern character of a famil...
AbstractWe apply the results of Connes-Moscovici on transgressed Chern forms. We also establish cert...
In this paper we compute the equivariant Chern character associated with the Dirac operator using th...
AbstractThis is Part I of a work, in which we establish a formula for the Chern character of a famil...
This paper is the second part of a series of papers on noncommutative geometry and conformal geometr...
The Quillen-Bismut-Freed construction associates a determinant line bundle with connection to an inf...
AbstractIn this paper we consider a family of Dirac-type operators on fibration P→B equivariant with...
Is [3], using probabilistic methods, Bismut generalized his heat kernel proof of Atiyah-Singer index...
In this paper we consider a family of Dirac-type operators on fibration P → B equivariant with respe...
We construct an equivariant bivariant cyclic theory, as a combination of equivariant cyclic andnonco...
We apply the concepts of superanalysis to present an intrinsically supersymmetric formulation of the...
String theoretic considerations imply the existence of a Dirac-like operator, known as the Dirac-Ram...
For a family of Dirac operators, acting on Hermitian Clifford modules over the odd-dimensional compa...
Este trabalho busca explorar a definição dada por Connes em [Con01] do caráter de Chern para a geome...
Dedicated to our friend Krzysztof Wojciechowski We define Chern-Weil forms ck ( IA) associated to a ...
AbstractThis is Part II of a work in which we establish a formula for the Chern character of a famil...
AbstractWe apply the results of Connes-Moscovici on transgressed Chern forms. We also establish cert...
In this paper we compute the equivariant Chern character associated with the Dirac operator using th...
AbstractThis is Part I of a work, in which we establish a formula for the Chern character of a famil...
This paper is the second part of a series of papers on noncommutative geometry and conformal geometr...
The Quillen-Bismut-Freed construction associates a determinant line bundle with connection to an inf...
AbstractIn this paper we consider a family of Dirac-type operators on fibration P→B equivariant with...
Is [3], using probabilistic methods, Bismut generalized his heat kernel proof of Atiyah-Singer index...
In this paper we consider a family of Dirac-type operators on fibration P → B equivariant with respe...
We construct an equivariant bivariant cyclic theory, as a combination of equivariant cyclic andnonco...
We apply the concepts of superanalysis to present an intrinsically supersymmetric formulation of the...
String theoretic considerations imply the existence of a Dirac-like operator, known as the Dirac-Ram...
For a family of Dirac operators, acting on Hermitian Clifford modules over the odd-dimensional compa...
Este trabalho busca explorar a definição dada por Connes em [Con01] do caráter de Chern para a geome...
Dedicated to our friend Krzysztof Wojciechowski We define Chern-Weil forms ck ( IA) associated to a ...