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THE ETA INVARIANT
"... \The eta invariant, equivariant bordism, connective K theory and manifolds with positive scalar curvature, " a dissertation prepared by Egidio BarreraYanez ..."
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\The eta invariant, equivariant bordism, connective K theory and manifolds with positive scalar curvature, " a dissertation prepared by Egidio BarreraYanez
The etainvariant
, 1994
"... The main motivation of the paper is the signature of the Milnor fiber of the germ fl + f;, where (fl, f2) is an isolated complete intersection singularity. This is computed in terms of a new invariant of the pair (ft, fz), which corresponds to the algebraic version of the etainvariant, introduced b ..."
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The main motivation of the paper is the signature of the Milnor fiber of the germ fl + f;, where (fl, f2) is an isolated complete intersection singularity. This is computed in terms of a new invariant of the pair (ft, fz), which corresponds to the algebraic version of the etainvariant, introduced
THE ETA INVARIANT IN THE KÄHLERIAN CONFORMALLY
, 805
"... Abstract. A formula for the eta invariant of a conformal structure on a 3manifold is given, in case the latter is the boundary of a 4manifold M, and the former is induced from an Einstein metric which has a conformal compactification (g, τ) with g Kähler, not (anti)selfdual, and with the pair sat ..."
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Abstract. A formula for the eta invariant of a conformal structure on a 3manifold is given, in case the latter is the boundary of a 4manifold M, and the former is induced from an Einstein metric which has a conformal compactification (g, τ) with g Kähler, not (anti)selfdual, and with the pair
L 2 eta invariants and their approximation by unitary eta invariants
, 2003
"... Abstract. Cochran, Orr and Teichner introduced L 2 –eta–invariants to detect highly non–trivial examples of non slice knots. Using a recent theorem by Lück and Schick we show that their metabelian L 2 –eta–invariants can be viewed as the limit of finite dimensional unitary representations. We recall ..."
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Cited by 6 (1 self)
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Abstract. Cochran, Orr and Teichner introduced L 2 –eta–invariants to detect highly non–trivial examples of non slice knots. Using a recent theorem by Lück and Schick we show that their metabelian L 2 –eta–invariants can be viewed as the limit of finite dimensional unitary representations. We
ETA INVARIANTS OF HOMOGENEOUS SPACES
, 2002
"... Abstract. We derive a formula for the ηinvariants of equivariant Dirac operators on quotients of compact Lie groups, and for their infinitesimally equivariant extension. As an example, we give some computations for spheres. Quotients M = G/H of compact Lie groups form a very special class of manifo ..."
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Cited by 2 (0 self)
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. First steps in this direction have been made in [G1]–[G3], however, one complicated (though local) term remained. The goal of this paper is to present a formula for the nonequivariant eta invariant η(D κ) that is more tractable. More generally, we also obtain a formula for the infinitesimally
Absolute torsion and etainvariant
 234 (2000) 339–349, MR 1765885, Zbl 0955.57022
"... In a recent joint work with V. Turaev [6], we defined a new concept of combinatorial torsion which we called absolute torsion. Compared with the classical Reidemeister torsion, it has the advantage of having a welldetermined sign. Also, the absolute torsion is defined for arbitrary orientable flat ..."
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Cited by 9 (0 self)
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vector bundles, and not only for unimodular ones, as is classical Reidemeister torsion. In this paper I show that the sign behavior of the absolute torsion, under a continuous deformation of the flat bundle, is determined by the etainvariant and the Pontrjagin classes. 1. A review of absolute torsion
Elliptic Operators in Subspaces and the Eta Invariant
, 2008
"... In this paper we obtain a formula for the fractional part of the ηinvariant for elliptic selfadjoint operators in topological terms. The computation of the ηinvariant is based on the index theorem for elliptic operators in subspaces obtained in [SS99], [SS00b]. We also apply the Ktheory with coe ..."
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theory with coefficients Zn. In particular, it is shown that the group K(T ∗ M, Zn) is realized by elliptic operators (symbols) acting in appropriate subspaces. Keywords: index of elliptic operators in subspaces, Ktheory, etainvariant, mod k index, Atiyah–Patodi–Singer theory
Analytic surgery and the eta invariant, II
"... Abstract. Let M be a compact manifold in which H is an embedded hypersurface which separates M into two parts M+ and M−. If h is a metric on M and x is a defining function for H consider the family of metrics gɛ = dx2 x2 + h + ɛ2 where ɛ> 0 is a parameter. The limiting metric, g0, is an exact bm ..."
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metric on the disjoint union M = M+ ∪ M−, i.e. it gives M ± asymptotically cylindrical ends with crosssection H. In the first paper with this title, [13], the behaviour of the Dirac operator associated to a Clifford module for the metric was analyzed as ɛ ↓ 0, and the limiting behaviour of the eta invariant, for M odd
Results 1  10
of
146