3 papers
hep-th1994
Geometry of determinants of elliptic operators
Maxim Kontsevich, Simeon Vishik
This paper is essentially a short version of hep-th/9404046. We compute multiplicative anomaly det(AB)/(detA detB) =F(A,B) for elliptic pseudo-differential operators (PDOs) A, B on…
hep-th1994
Determinants of elliptic pseudo-differential operators
Maxim Kontsevich, Simeon Vishik
Determinants of invertible pseudo-differential operators (PDOs) close to positive self-adjoint ones are defined throughthe zeta-function regularization. We define a multiplicative…
hep-th1993
Generalized Ray-Singer conjecture. I. A manifold with a smooth boundary
Simeon Vishik
This paper is devoted to a proof of a generalized Ray-Singer conjecture for a manifold with boundary (the Dirichlet and the Neumann boundary conditions are independently given on e…