15 citations · 17 across the 2 of their papers we have counts for
7 papers · 1 filter
A Noncommutative Deformation of General Relativity
Ivan Avramidi
We develop a novel approach to gravity in which gravity is described by a matrix-valued symmetric two-tensor field and construct an invariant functional that reduces to the standar…
A discrete leading symbol and spectral asymptotics for natural differential operators
Ivan Avramidi, Thomas Branson
We initiate a systematic study of natural differential operators in Riemannian geometry whose leading symbols are not of Laplace type. In particular, we define a discrete leading s…
Universal Functions in Euclidean Quantum Gravity
Ivan G. Avramidi, Giampiero Esposito
A key problem in the attempt to quantize the gravitational field is the choice of boundary conditions. These are mixed, in that spatial and normal components of metric perturbation…
Nonperturbative methods for calculating the heat kernel
Ivan G. Avramidi
We study the low-energy approximation for calculation of the heat kernel which is determined by the strong slowly varying background fields in strongly curved quasi-homogeneous man…
Algorithms for the calculation of the heat kernel coefficients
Ivan G. Avramidi, Rainer Schimming
We present a brief overview of several approaches for calculating the local asymptotic expansion of the heat kernel for Laplace-type operators. The different methods developed in t…
The heat kernel approach for calculating the effective action in quantum field theory and quantum gravity
Ivan G. Avramidi
A short informal overview about recent progress in the calculation of the effective action in quantum gravity is given. I describe briefly the standard heat kernel approach to the…