Open AccessThe odd-dimensional analogue of a theorem of Getzler and Wu
Author(s) -
Zhizhang Xie
Publication year - 2013
Publication title -
journal of noncommutative geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.037
H-Index - 26
eISSN - 1661-6960
pISSN - 1661-6952
DOI - 10.4171/jncg/130
Subject(s) - mathematics , invariant (physics) , pure mathematics , boundary (topology) , mathematical analysis , mathematical physics
We prove an analogue for odd dimensional manifolds with boundary, in the $b$-calculus setting, of the higher Atiyah-Patodi-Singer index theorem by Getzler and Wu, thus obtain a natural counterpart of the eta invariant for even dimensional closed manifolds.
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