Witten deformation of analytic torsion and the spectral sequence of a filtration
نویسندگان
چکیده
منابع مشابه
Witten Deformation of the Analytic Torsion and the Spectral Sequence of a Filtration
Let F be a flat vector bundle over a compact Riemannian manifold M and let f : M → R be a Morse function. Let g be a smooth Euclidean metric on F , let g t = e g and let ρ(t) be the Ray-Singer analytic torsion of F associated to the metric g t . Assuming that ∇f satisfies the Morse-Smale transversality conditions, we provide an asymptotic expansion for log ρ(t) for t → +∞ of the form a0 + a1t +...
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Let F be a flat vector bundle over a compact Riemannian manifold M and let f : M → R be a self-indexing Morse function. Let g be a smooth Euclidean metric on F , let g t = e g and let ρ(t) be the Ray-Singer analytic torsion of F associated to the metric g t . Assuming that ∇f satisfies the MorseSmale transversality conditions, we provide an asymptotic expansion for log ρ(t) for t → ∞ of the for...
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Given a compact Riemannian manifold (Md, g), a finite dimensional representation �:�1(M) → GL(V) of the fundamental group �1(M) on a vector space V of dimension l and a Hermitian structure � on the flat vector bundle � → p M associated to �, Ray-Singer [RS] have introduced the analytic torsion T = T(M,�,g,�) > 0. Witten’s deformation dq(t) of the exterior derivative dq, dq(t) = e-htdqeht, with ...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 1996
ISSN: 1016-443X,1420-8970
DOI: 10.1007/bf02246766