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Eta invariant, boundaries and the determinant line bundle

Rochon, F (Stony Brook)
Wednesday 26 July 2006, 11:30-12:20

Seminar Room 1, Newton Institute


We will discuss the definition of the eta invariant on manifolds with boundary using cusp suspended operators. This will be used to show that the (exponentiated) eta invariant of a family of elliptic operators trivialzes the determinant bunle of the associated family of operators on the boundary, giving a pseudodifferential generalization of a result of Dai and Freed.


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