The Odd Dimensional Analogue of a Theorem of Getzler and Wu

Zhizhang Xie

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arXiv · 1011.0721

The Odd Dimensional Analogue of a Theorem of Getzler and Wu

Zhizhang Xie

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Abstract

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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Zhizhang Xie. 2011-05-10. The Odd Dimensional Analogue of a Theorem of Getzler and Wu. https://arxiv.org/abs/1011.0721

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