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June 2021 Smooth Kuranishi structure of the space of Morse trajectories
Suguru Ishikawa
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Kyoto J. Math. 61(2): 231-258 (June 2021). DOI: 10.1215/21562261-2021-0001

Abstract

Our aim here is to explain a new technique for the construction of a smooth Kuranishi structure, which we used in our previous article about the construction of symplectic field theory. We explain this technique in the case of a Morse chain complex.

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Suguru Ishikawa. "Smooth Kuranishi structure of the space of Morse trajectories." Kyoto J. Math. 61 (2) 231 - 258, June 2021. https://doi.org/10.1215/21562261-2021-0001

Information

Received: 27 December 2019; Revised: 9 March 2020; Accepted: 19 March 2020; Published: June 2021
First available in Project Euclid: 16 April 2021

Digital Object Identifier: 10.1215/21562261-2021-0001

Subjects:
Primary: 57R58

Keywords: Floer homology , Morse homology , smooth Kuranishi structure

Rights: Copyright © 2021 by Kyoto University

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Vol.61 • No. 2 • June 2021
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