Geodesic
Second Order Operators with Non-Zero Eta Invariant
Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 341-353

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We give an example of an elliptic second order pseudodifferential operator with a non-zero eta invariant. The operator is constructed on homogeneous bundles over compact Lie groups and is formed by composing differential operators and an operator of class In general it is not elliptic but in the special case of even dimensional bundles over SU(2) it is elliptic. The eta invariant is calculated in the special case and in the non elliptic case a difference eta invariant is obtained.
DOI : 10.4153/CMB-1992-046-0
Mots-clés : 58G15 
Fegan, H. D. Second Order Operators with Non-Zero Eta Invariant. Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 341-353. doi: 10.4153/CMB-1992-046-0
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     title = {Second {Order} {Operators} with {Non-Zero} {Eta} {Invariant}},
     journal = {Canadian mathematical bulletin},
     pages = {341--353},
     year = {1992},
     volume = {35},
     number = {3},
     doi = {10.4153/CMB-1992-046-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-046-0/}
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