IntersectionR-torsion and analytic torsion for pseudomanifolds
Copyright policy )IntersectionR-torsion and analytic torsion for pseudomanifolds
For a closed Riemannian manifold the Reidemeister torsion equals the analytic torsion T [see \textit{J. Cheeger}, Ann. Math., II. Ser. 109, 259- 322 (1979; Zbl 0412.58026); \textit{W. Müller}, Adv. Math. 28, 233-305 (1978; Zbl 0395.57011)]. We construct a finer invariant, the intersection R-torsion \(I\tau\) for pseudomanifolds. For metrics with conical singularities we study the analytic torsion T. Our study indicates that in this case also the intersection R-torsion \(I\tau\) equals the analytic torsion T.
- DigiZeitschriften Germany
- Tata Institute of Fundamental Research India
- Institute for Advanced Study United States
- Kerala School of Mathematics India
- Mississippi School for Mathematics and Science United States
intersection R-torsion, 510.mathematics, analytic torsion, Partial differential equations on manifolds; differential operators, Local properties of generalized manifolds, conical singularities, Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc., pseudomanifolds, Article, Reidemeister torsion
intersection R-torsion, 510.mathematics, analytic torsion, Partial differential equations on manifolds; differential operators, Local properties of generalized manifolds, conical singularities, Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc., pseudomanifolds, Article, Reidemeister torsion
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