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\(\eta\)-invariants, the adiabatic approximation and conical singularities. (English) Zbl 0623.58021

J. Differ. Geom. 26, 175-221 (1987).

The author discusses a formula derived by Witten for the \(\eta\)-invariant of a mapping torus, by heat equation methods. The relation between these results and previous work of the author on analysis on spaces with conical singularities is also discussed.

Reviewer: C.Zuily

Cited in 34 Documents

MSC:

58J35	Heat and other parabolic equation methods for PDEs on manifolds
58J20	Index theory and related fixed-point theorems on manifolds
58J70	Invariance and symmetry properties for PDEs on manifolds

Keywords:

adiabatic approximation; \(\eta \)-invariant

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