Index Theorem for Equivariant Dirac Operators on Noncompact Manifolds
نویسندگان
چکیده
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...
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We define a regularized version of an equivariant index of a (generalized) Dirac operator on a non-compact complete Riemannian manifold M acted on by a compact Lie group G. Our definition requires an additional data – an equivariant map v : M → g = LieG, such that the corresponding vector field on M does not vanish outside of a compact subset. For the case when M = C and G is the circle group a...
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ژورنال
عنوان ژورنال: K-Theory
سال: 2002
ISSN: 1573-0514,0920-3036
DOI: 10.1023/a:1020842205711