publication . Article . 2004

The eta invariant and parity conditions

Anton Savin;
Open Access English
  • Published: 01 Mar 2004 Journal: Advances in Mathematics, issue 2, pages 173-203 (issn: 00018708, Copyright policy)
  • Publisher: Elsevier Science (USA).
Abstract We give a formula for the η -invariant of odd-order operators on even-dimensional manifolds and even-order operators on odd-dimensional manifolds. Second-order operators with nontrivial η -invariants are found. This solves a problem posed by Gilkey.
free text keywords: Eta invariant, Parity condition, K-theory, Linking index, Dirac operator, Spectral flow, Elliptic operator, Mathematics(all), General Mathematics, Mathematics, Manifold, Topology, Operator theory, Invariant (mathematics), Spectral theorem, Operator (computer programming), Mathematical analysis, Ricci-flat manifold
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