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Matematicheskie Zametki, 2002, Volume 71, Issue 2, Pages 271–291
DOI: https://doi.org/10.4213/mzm346 (Mi mzm346) 		 
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
Full-text PDF (295 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm346
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
English version:
Mathematical Notes, 2002, Volume 71, Issue 2, Pages 245–261
DOI: https://doi.org/10.1023/A:1013967416534
Bibliographic databases:
UDC: 517.9
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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