Elliptic operators in subspaces and the eta invariant

The paper deals with the calculation of the fractional part of the η-invariant for elliptic self-adjoint operators in topological terms. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces obtained in [1], [2]. It also utilizes K-theo...

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Main Authors:	Schulze, Bert-Wolfgang, Savin, Anton, Sternin, Boris
Format:	Others
Language:	English
Published:	Universität Potsdam 1999
Subjects:	index of elliptic operators in subspaces K-theory eta-invariant mod k index Atiyah-Patodi-Singer theory Mathematics
Online Access:	http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25496 http://opus.kobv.de/ubp/volltexte/2008/2549/

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record_format	oai_dc
spelling	ndltd-Potsdam-oai-kobv.de-opus-ubp-25492013-01-08T00:54:51Z Elliptic operators in subspaces and the eta invariant Schulze, Bert-Wolfgang Savin, Anton Sternin, Boris index of elliptic operators in subspaces K-theory eta-invariant mod k index Atiyah-Patodi-Singer theory Mathematics The paper deals with the calculation of the fractional part of the η-invariant for elliptic self-adjoint operators in topological terms. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces obtained in [1], [2]. It also utilizes K-theory with coefficients Zsub(n). In particular, it is shown that the group K(T*M,Zsub(n)) is realized by elliptic operators (symbols) acting in appropriate subspaces. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik 1999 Preprint application/pdf urn:nbn:de:kobv:517-opus-25496 http://opus.kobv.de/ubp/volltexte/2008/2549/ eng http://opus.kobv.de/ubp/doku/urheberrecht.php
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	index of elliptic operators in subspaces K-theory eta-invariant mod k index Atiyah-Patodi-Singer theory Mathematics
spellingShingle	index of elliptic operators in subspaces K-theory eta-invariant mod k index Atiyah-Patodi-Singer theory Mathematics Schulze, Bert-Wolfgang Savin, Anton Sternin, Boris Elliptic operators in subspaces and the eta invariant
description	The paper deals with the calculation of the fractional part of the η-invariant for elliptic self-adjoint operators in topological terms. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces obtained in [1], [2]. It also utilizes K-theory with coefficients Zsub(n). In particular, it is shown that the group K(T*M,Zsub(n)) is realized by elliptic operators (symbols) acting in appropriate subspaces.
author	Schulze, Bert-Wolfgang Savin, Anton Sternin, Boris
author_facet	Schulze, Bert-Wolfgang Savin, Anton Sternin, Boris
author_sort	Schulze, Bert-Wolfgang
title	Elliptic operators in subspaces and the eta invariant
title_short	Elliptic operators in subspaces and the eta invariant
title_full	Elliptic operators in subspaces and the eta invariant
title_fullStr	Elliptic operators in subspaces and the eta invariant
title_full_unstemmed	Elliptic operators in subspaces and the eta invariant
title_sort	elliptic operators in subspaces and the eta invariant
publisher	Universität Potsdam
publishDate	1999
url	http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25496 http://opus.kobv.de/ubp/volltexte/2008/2549/
work_keys_str_mv	AT schulzebertwolfgang ellipticoperatorsinsubspacesandtheetainvariant AT savinanton ellipticoperatorsinsubspacesandtheetainvariant AT sterninboris ellipticoperatorsinsubspacesandtheetainvariant
_version_	1716501685476524032

Elliptic operators in subspaces and the eta invariant

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