Abstract
In this chapter, we discuss multivalued perturbations, especially their existence result, Theorem 6.23. This result will be used in Chaps. 14 and 20. One of the advantages of using multivalued perturbations is that it enables us to work with \({\mathbb Q}\) coefficients. In the construction based on de Rham theory we can work only over \({\mathbb R}\) or \({\mathbb C}\). For many applications, it is enough to work over \({\mathbb R}\) or \({\mathbb C}\), for which we do not need to use the results of Chaps. 13 and 14. The discussion of this chapter is largely parallel to that of CF-perturbation given in Chap. 12.
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Notes
- 1.
\(\mathfrak P(x)\) is defined by (12.12).
- 2.
We do not try to write the detail of this version of the proof in this book.
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Fukaya, K., Oh, YG., Ohta, H., Ono, K. (2020). Construction of Multivalued Perturbations. In: Kuranishi Structures and Virtual Fundamental Chains. Springer Monographs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-15-5562-6_13
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DOI: https://doi.org/10.1007/978-981-15-5562-6_13
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