Torsions for Manifolds with Boundary and Glueing Formulas
نویسندگان
چکیده
We extend the definition of analytic and Reidemeister torsion from closed compact Riemannian manifolds to compact Riemannian manifolds with boundary (M,∂M), given a flat bundle F of A-Hilbert modules of finite type and a decomposition of the boundary ∂M = ∂−M ∪ ∂+M into disjoint components. If the system (M,∂−M,∂+M,F) is of determinant class we compute the quotient of the analytic and the Reidemeister torsion and prove gluing formulas for both of them. In particular we answer positively Conjecture 7.6 in [LL]
منابع مشابه
Torsions of 3-manifolds
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تاریخ انتشار 1995