Elliptic operators in subspaces and the eta invariant

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dc.creatorSavin, A. Yu.
dc.creatorSchulze, B. -W.
dc.creatorSternin, B. Yu.
dc.date1999-07-08
dc.date2002-07-20
dc.date.accessioned2026-07-07T05:29:49Z
dc.date.available2026-07-07T05:29:49Z
dc.descriptionThe spectral eta-invariant of a self-adjoint elliptic differential operator on a closed manifold is rigid, provided that the parity of the order is opposite to the parity of dimension of the manifold. The paper deals with the calculation of the fractional part of the eta-invariant in this case. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces. It also utilizes K-theory with coefficients Z_n. In particular, it is shown that the group K(T^*M,Z_n) is realized by elliptic operators (symbols) acting in appropriate subspaces.
dc.description24 pages; final version
dc.identifierhttps://arxiv.org/abs/math/9907047
dc.identifierhttp://arxiv.org/abs/math/9907047
dc.identifierK-theory Journal, 2002, V.26, n. 3, 253-272
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78790
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subjectAlgebraic Topology
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject58J28 (Primary) 58J20, 58J22, 19K56 (Secondary)
dc.titleElliptic operators in subspaces and the eta invariant
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