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This article is cited in 4 scientific papers (total in 4 papers)
The Eta-Invariant and Pontryagin Duality in $K$-Theory
A. Yu. Savin, B. Yu. Sternin M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract:
The topological significance of the spectral Atiyah–Patodi–Singer $\eta$-invariant is investigated. We show that twice the fractional part of the invariant is computed by the linking pairing in $K$-theory with the orientation bundle of the manifold. Pontryagin duality implies the nondegeneracy of the linking form. An example of a nontrivial fractional part for an even-order operator is presented.
Received: 25.04.2001
Citation:
A. Yu. Savin, B. Yu. Sternin, “The Eta-Invariant and Pontryagin Duality in $K$-Theory”, Mat. Zametki, 71:2 (2002), 271–291; Math. Notes, 71:2 (2002), 245–261
Linking options:
https://www.mathnet.ru/eng/mzm346https://doi.org/10.4213/mzm346 https://www.mathnet.ru/eng/mzm/v71/i2/p271
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Abstract page: | 454 | Full-text PDF : | 205 | References: | 76 | First page: | 1 |
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