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A Thom-Smale-Witten theorem on manifolds with boundary: the arbitrary metric case

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Abstract

In this paper, we establish the canonical isomorphism between the Witten instanton complex and the Thom-Smale complex on manifolds with boundary with arbitrary Riemannian metric using Bismut-Lebeau’s analytic localization techniques.

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Acknowledgments

The author would like to thank Professor Xiaonan Ma for his kind advices.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, People’s Republic of China

    Wen Lu

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  1. Wen Lu
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Correspondence to Wen Lu.

Additional information

Supported by National Nature Science Foundation in China (No. 11401232) and the Fundamental Research Funds for the Central Universities, HUST (No. 2014QN081).

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Lu, W. A Thom-Smale-Witten theorem on manifolds with boundary: the arbitrary metric case. Ann Glob Anal Geom 51, 231–244 (2017). https://doi.org/10.1007/s10455-016-9532-2

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  • DOI: https://doi.org/10.1007/s10455-016-9532-2

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