$S^1$-equivariant local index and transverse index for non-compact symplectic 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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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2016
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2016.v23.n5.a5