Adiabatic Limit of the Eta Invariant over Cofinite Quotient of Psl(2,r)
نویسندگان
چکیده
We study the adiabatic limit of the eta invariant of the Dirac operator over cofinite quotient of PSL(2,R), which is a noncompact manifold with a nonexact fibred-cusp metric near the ends.
منابع مشابه
Adiabatic limit of the Eta invariant over cofinite quotients of PSL(2,R)
The eta invariant of the Dirac operator over a noncompact cofinite quotient of PSL(2,R) is defined through a regularized trace following Melrose. It reduces to the standard definition in terms of eigenvalues in the case of a totally nontrivial spin structure. When the S1-fibers are rescaled, the metric becomes of nonexact fibred-cusp type near the ends. We completely describe the continuous spe...
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