Add to ORKGSinger Index Theorem for coverings [1, 50]. The odd index theorem for a compact manifold gives a topological formula for the integer index of a Toeplitz operator constructed from the compression of a unitary multiplier to the positive space of an elliptic self-adjoint psuedo-differential operator [8, 40]. Equivalently, thi
§1. The index theorem on the circle In this talk, we will show how heat-kernel methods can be used t...
In this note I explain how the index theory of Toeplitz and Wiener-Hopf operators, which was applied...
Abstract. Let A(t) be an elliptic, product-type suspended (which is to say parameter-dependant in a ...
AbstractWe establish an index theorem for Toeplitz operators on odd-dimensional spin manifolds with ...
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solut...
This is arguably one of the deepest and most beautiful results in modern geometry, and in my view is...
We consider elliptic operators on stratified manifolds with stratification of arbitrary length. Unde...
We construct skew-adjoint operators associated to nowhere zero vector fields on manifolds with vanis...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
AbstractLet D be a self-adjoint leafwise elliptic operator on a foliated manifold. Compressing multi...
In this note, we give and explain the statement of the Hodge decomposition theorem for a transversel...
The eta invariant is a secondary geometric invariant, introduced by Atiyah, Patodi and Singer about ...
We extend the Atiyah, Patodi, and Singer index theorem for first-order differential operators from t...
We establish the basics of the analysis of operators on coverings of manifolds with cylindrical ends...
In [35] we defined the gauge-equivariant index of a family of ellip-tic operators invariant with res...
§1. The index theorem on the circle In this talk, we will show how heat-kernel methods can be used t...
In this note I explain how the index theory of Toeplitz and Wiener-Hopf operators, which was applied...
Abstract. Let A(t) be an elliptic, product-type suspended (which is to say parameter-dependant in a ...
AbstractWe establish an index theorem for Toeplitz operators on odd-dimensional spin manifolds with ...
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solut...
This is arguably one of the deepest and most beautiful results in modern geometry, and in my view is...
We consider elliptic operators on stratified manifolds with stratification of arbitrary length. Unde...
We construct skew-adjoint operators associated to nowhere zero vector fields on manifolds with vanis...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
AbstractLet D be a self-adjoint leafwise elliptic operator on a foliated manifold. Compressing multi...
In this note, we give and explain the statement of the Hodge decomposition theorem for a transversel...
The eta invariant is a secondary geometric invariant, introduced by Atiyah, Patodi and Singer about ...
We extend the Atiyah, Patodi, and Singer index theorem for first-order differential operators from t...
We establish the basics of the analysis of operators on coverings of manifolds with cylindrical ends...
In [35] we defined the gauge-equivariant index of a family of ellip-tic operators invariant with res...
§1. The index theorem on the circle In this talk, we will show how heat-kernel methods can be used t...
In this note I explain how the index theory of Toeplitz and Wiener-Hopf operators, which was applied...
Abstract. Let A(t) be an elliptic, product-type suspended (which is to say parameter-dependant in a ...