AbstractWe give a formula for the η-invariant of odd-order operators on even-dimensional manifolds and even-order operators on odd-dimensional manifolds. Second-order operators with nontrivial η-invariants are found. This solves a problem posed by Gilkey
We compute the eta function #x03B7;(s) and its corresponding η-invariant for the Atiyah–Patodi–Singe...
The Dirac APS eta invariant on a Berger sphere of dimension $2n-1$ is discovered, numerically, to co...
We extend the canonical trace of Kontsevich and Vishik to the algebra of non-integer order classical...
AbstractWe establish an index theorem for Toeplitz operators on odd-dimensional spin manifolds with ...
AbstractWe prove a close cousin of a theorem of Weinberger about the homotopy invariance of certain ...
AbstractWe prove an analogue for even dimensional manifolds of the Atiyah–Patodi–Singer twisted inde...
AbstractWe show meromorphic extension and give a complete description of the divisors of a Selberg z...
Modified Remark 3.4.We first apply the method and results in the previous paper to give a new proof ...
We define the higher eta-invariant of a Dirac-type operator on a nonsimply-connected closed manifold...
Abstract. Let A(t) be an elliptic, product-type suspended (which is to say parameter-dependant in a ...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
Singer Index Theorem for coverings [1, 50]. The odd index theorem for a compact manifold gives a top...
AbstractWe compute the asymptotics of TrL2(Pe−tp2) where P is a first order operator of Dirac type; ...
We report on a particular case of the paper [7], joint with Raphael Ponge, showing that generically,...
Let A(t) be an elliptic, product-type suspended (which is to say parameter-dependant in a symbolic w...
We compute the eta function #x03B7;(s) and its corresponding η-invariant for the Atiyah–Patodi–Singe...
The Dirac APS eta invariant on a Berger sphere of dimension $2n-1$ is discovered, numerically, to co...
We extend the canonical trace of Kontsevich and Vishik to the algebra of non-integer order classical...
AbstractWe establish an index theorem for Toeplitz operators on odd-dimensional spin manifolds with ...
AbstractWe prove a close cousin of a theorem of Weinberger about the homotopy invariance of certain ...
AbstractWe prove an analogue for even dimensional manifolds of the Atiyah–Patodi–Singer twisted inde...
AbstractWe show meromorphic extension and give a complete description of the divisors of a Selberg z...
Modified Remark 3.4.We first apply the method and results in the previous paper to give a new proof ...
We define the higher eta-invariant of a Dirac-type operator on a nonsimply-connected closed manifold...
Abstract. Let A(t) be an elliptic, product-type suspended (which is to say parameter-dependant in a ...
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic oper...
Singer Index Theorem for coverings [1, 50]. The odd index theorem for a compact manifold gives a top...
AbstractWe compute the asymptotics of TrL2(Pe−tp2) where P is a first order operator of Dirac type; ...
We report on a particular case of the paper [7], joint with Raphael Ponge, showing that generically,...
Let A(t) be an elliptic, product-type suspended (which is to say parameter-dependant in a symbolic w...
We compute the eta function #x03B7;(s) and its corresponding η-invariant for the Atiyah–Patodi–Singe...
The Dirac APS eta invariant on a Berger sphere of dimension $2n-1$ is discovered, numerically, to co...
We extend the canonical trace of Kontsevich and Vishik to the algebra of non-integer order classical...