Adiabatic limits and spectral sequences for Riemannian foliations
✍ Scribed by J.A. Álvarez López; Y.A. Kordyukov
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 400 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1016-443X
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We construct a hierarchy of spectral sequences for a filtered complex under a Ž . left-exact functor. As applications we prove 1 the existence of a Leray spectral Ž . sequence for de Rham cohomology, 2 the equivalence of this sequence with the ''usual'' Leray spectral spectral sequence under the com
## Abstract We derive an adiabatic‐type theorem that expresses the section determinants of spectral projections of a selfadjoint operator through the solution to an operator‐valued Wiener‐Hopf equation. The solution theory of this equation is developed and for a special case a concrete criterion th