On the Levinson theorem for Dirac operators

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Index Theorem for Equivariant Dirac Operators on Non-compact Manifolds

Let D be a (generalized) Dirac operator on a non-compact complete Riemannian manifold M acted on by a compact Lie group G. Let v : M → g = LieG be an equivariant map, such that the corresponding vector field on M does not vanish outside of a compact subset. These data define an element of K-theory of the transversal cotangent bundle to M . Hence, by embedding of M into a compact manifold, one c...

متن کامل

Vanishing Theorem for Transverse Dirac Operators on Riemannian Foliations

Let X be a compact manifold of dimension 2n equipped with an almost complex structure J : TX → TX, E a Hermitian vector bundle on X, and gX a Riemannian metric on X. Assume that the almost complex structure J is compatible with gX . Consider a Hermitian line bundle L over X endowed with a Hermitian connection ∇L such that its curvature R = (∇L)2 is nondegenerate. Thus, ω = i 2πR L is a symplect...

متن کامل

The Egorov Theorem for Transverse Dirac Type Operators on Foliated Manifolds

Egorov’s theorem for transversally elliptic operators, acting on sections of a vector bundle over a compact foliated manifold, is proved. This theorem relates the quantum evolution of transverse pseudodifferential operators determined by a first order transversally elliptic operator with the (classical) evolution of its symbols determined by the parallel transport along the orbits of the associ...

متن کامل

An L 2-index Theorem for Dirac Operators on S 1 × R 3

An expression is found for the L 2-index of a Dirac operator coupled to a connection on a Un vector bundle over S 1 × R 3. Boundary conditions for the connection are given which ensure the coupled Dirac operator is Fred-holm. Callias' index theorem is used to calculate the index when the connection is independent of the coordinate on S 1. An excision theorem due to Gromov, Lawson, and Anghel re...

متن کامل

An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary

For a family of Dirac operators acting on Hermitian Cli ord modules over the odd dimensional compact manifolds with boundary which are the bres of a bration with compact base we compute the Chern character of the index in K of the base Although we assume a product decomposition near the boundary we make no assumptions on invertibility of the bound ary family and instead obtain a family of self ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 1990

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.528858